Pith Number

pith:TOA5JAW5

pith:2017:TOA5JAW5KMFAOUR37EMNIMXBTA

not attested not anchored not stored refs pending

Gibbs measures over locally tree-like graphs and percolative entropy over infinite regular trees

Moumanti Podder, Tim Austin

arxiv:1705.03589 v2 · 2017-05-10 · 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{TOA5JAW5KMFAOUR37EMNIMXBTA}

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	2026-05-18T00:21:28.156684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b81d482dd530a07523bf918d432e198255c57855687aaebacef33692e6bcbd7

Aliases

arxiv: 1705.03589 · arxiv_version: 1705.03589v2 · doi: 10.48550/arxiv.1705.03589 · pith_short_12: TOA5JAW5KMFA · pith_short_16: TOA5JAW5KMFAOUR3 · pith_short_8: TOA5JAW5

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/TOA5JAW5KMFAOUR37EMNIMXBTA \
  | 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: 9b81d482dd530a07523bf918d432e198255c57855687aaebacef33692e6bcbd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bad7587a05bf537c4dc4bca1a3cda6f5c25f41f6bbf1ce4fb3be6d1e6d88093",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-10T02:29:02Z",
    "title_canon_sha256": "6cb5a2219e66f3a4b827e5c449be01cb422ad9af53c27a65185f2ed2c7c37a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03589",
    "kind": "arxiv",
    "version": 2
  }
}