Pith Number

pith:7IMFC4ZG

pith:2016:7IMFC4ZGPDOIV6W64QLF2YT354

not attested not anchored not stored refs pending

On a theorem of Grigor'yan, Hu and Lau

Luke G. Rogers

arxiv:1605.04226 v1 · 2016-05-13 · 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{7IMFC4ZGPDOIV6W64QLF2YT354}

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	2026-05-18T01:14:53.966794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1851732678dc8afadee4165d627bef32411b544dfcb6f9097faf42245c1154

Aliases

arxiv: 1605.04226 · arxiv_version: 1605.04226v1 · doi: 10.48550/arxiv.1605.04226 · pith_short_12: 7IMFC4ZGPDOI · pith_short_16: 7IMFC4ZGPDOIV6W6 · pith_short_8: 7IMFC4ZG

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/7IMFC4ZGPDOIV6W64QLF2YT354 \
  | 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: fa1851732678dc8afadee4165d627bef32411b544dfcb6f9097faf42245c1154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba948bccd23bb98e98d1e2ceff146673c32be2b0265fd419f4ce5efdc776c926",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-13T15:56:27Z",
    "title_canon_sha256": "861e40fd8aeec9d510f863a2eba8b25e90af55fd34ff9ae06dd2e339bc55d555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04226",
    "kind": "arxiv",
    "version": 1
  }
}