Pith Number

pith:3FWNW5L7

pith:2014:3FWNW5L7CICPNB32VTK37Z2VL2

not attested not anchored not stored refs pending

Entropy along W_{1,+}-geodesics on graphs

Erwan Hillion

arxiv:1406.5089 v1 · 2014-06-19 · 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{3FWNW5L7CICPNB32VTK37Z2VL2}

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	2026-05-18T02:49:20.963437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d96cdb757f1204f6877aacd5bfe7555ea82b5b8794ed32e7a12e9757dbfe055a

Aliases

arxiv: 1406.5089 · arxiv_version: 1406.5089v1 · doi: 10.48550/arxiv.1406.5089 · pith_short_12: 3FWNW5L7CICP · pith_short_16: 3FWNW5L7CICPNB32 · pith_short_8: 3FWNW5L7

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/3FWNW5L7CICPNB32VTK37Z2VL2 \
  | 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: d96cdb757f1204f6877aacd5bfe7555ea82b5b8794ed32e7a12e9757dbfe055a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f82dd7cd7e2c98424f9aa2f6b7701eb20058681f66aae4f8532479a6ef7ba8e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-19T15:53:38Z",
    "title_canon_sha256": "5216bc0bdabadebef9b55a3d06233061160c99f741a04469f16b46beab78c6cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5089",
    "kind": "arxiv",
    "version": 1
  }
}