Pith Number

pith:64AC7Z5M

pith:2014:64AC7Z5M3G76KNM6APRCGH6Y3A

not attested not anchored not stored refs pending

Introduction to Regularity Structures

Martin Hairer

arxiv:1401.3014 v2 · 2014-01-13 · math.AP · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64AC7Z5M3G76KNM6APRCGH6Y3A}

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.

Receipt and verification

First computed	2026-05-18T02:55:37.971205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7002fe7acd9bfe5359e03e2231fd8d82054763e35079bbce5fbcb11a35f099c

Aliases

arxiv: 1401.3014 · arxiv_version: 1401.3014v2 · doi: 10.48550/arxiv.1401.3014 · pith_short_12: 64AC7Z5M3G76 · pith_short_16: 64AC7Z5M3G76KNM6 · pith_short_8: 64AC7Z5M

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/64AC7Z5M3G76KNM6APRCGH6Y3A \
  | 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: f7002fe7acd9bfe5359e03e2231fd8d82054763e35079bbce5fbcb11a35f099c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e04fe1964ca75d5954711d041fe529a0eb5682f6dcca45b187fdea5185f800",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-13T21:21:34Z",
    "title_canon_sha256": "971e8ac193c84121ea4755c300b6ab3cef42a64f98060de5e35bb112eb8a1e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3014",
    "kind": "arxiv",
    "version": 2
  }
}