Pith Number

pith:AJJOAWYB

pith:2016:AJJOAWYBD7VQAYZG5O7MMYUIWR

not attested not anchored not stored refs pending

An analytic BPHZ theorem for regularity structures

Ajay Chandra, Martin Hairer

arxiv:1612.08138 v5 · 2016-12-24 · math.PR · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJJOAWYBD7VQAYZG5O7MMYUIWR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

4 papers in Pith

Anderson Hamiltonians with singular potentials

Stochastic estimates for the thin-film equation with thermal noise

Symmetries for the gKPZ equation via multi-indices

Cancellations for dispersive PDEs with random initial data

Receipt and verification

First computed	2026-05-18T00:25:27.030935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0252e05b011feb006326ebbec66288b443886f6b19593aa2e4aad234438734ae

Aliases

arxiv: 1612.08138 · arxiv_version: 1612.08138v5 · doi: 10.48550/arxiv.1612.08138 · pith_short_12: AJJOAWYBD7VQ · pith_short_16: AJJOAWYBD7VQAYZG · pith_short_8: AJJOAWYB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AJJOAWYBD7VQAYZG5O7MMYUIWR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0252e05b011feb006326ebbec66288b443886f6b19593aa2e4aad234438734ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e88c16401299793ac8e237e7e1211b19d51d29c7068862c04d514a6496c90b0",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-24T04:20:04Z",
    "title_canon_sha256": "06f27f6a0f5a1bda36574d9802d3b73f27099b1b54f95af7e874ecde59589a8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08138",
    "kind": "arxiv",
    "version": 5
  }
}