Pith Number

pith:WEVLOA2J

pith:2019:WEVLOA2JYYGHHIBQOOBU72N4GV

not attested not anchored not stored refs pending

On discrete loop signatures and Markov loops topology

Yves Le Jan

arxiv:1908.05187 v2 · 2019-08-14 · math.PR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEVLOA2JYYGHHIBQOOBU72N4GV}

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	2026-07-05T01:13:23.386040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b12ab70349c60c73a03073834fe9bc3565de6e86d6232c960da1d011f8b2004c

Aliases

arxiv: 1908.05187 · arxiv_version: 1908.05187v2 · doi: 10.48550/arxiv.1908.05187 · pith_short_12: WEVLOA2JYYGH · pith_short_16: WEVLOA2JYYGHHIBQ · pith_short_8: WEVLOA2J

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/WEVLOA2JYYGHHIBQOOBU72N4GV \
  | 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: b12ab70349c60c73a03073834fe9bc3565de6e86d6232c960da1d011f8b2004c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83682ef782f6f18b32171a9adf1d1621c0a388f6ad20c437f85a3f735b4d9eee",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-14T16:04:26Z",
    "title_canon_sha256": "9d73aeb192d433811341affd13eaf571174a33633718c367d5484c4c710dc0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05187",
    "kind": "arxiv",
    "version": 2
  }
}