Pith Number

pith:SXNPHOEU

pith:2014:SXNPHOEU74R55XT5DHXJHCZYQO

not attested not anchored not stored refs pending

Markov loops, complex free field and Eulerian circuits

Yves Le Jan (LM-Orsay)

arxiv:1405.2879 v2 · 2014-05-12 · 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{SXNPHOEU74R55XT5DHXJHCZYQO}

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.

Cited by

1 paper in Pith

On discrete loop signatures and Markov loops topology

Receipt and verification

First computed	2026-05-18T02:30:33.813143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95daf3b894ff23dede7d19ee938b38838624d262d5cb22aee399980cfa8c585a

Aliases

arxiv: 1405.2879 · arxiv_version: 1405.2879v2 · doi: 10.48550/arxiv.1405.2879 · pith_short_12: SXNPHOEU74R5 · pith_short_16: SXNPHOEU74R55XT5 · pith_short_8: SXNPHOEU

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/SXNPHOEU74R55XT5DHXJHCZYQO \
  | 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: 95daf3b894ff23dede7d19ee938b38838624d262d5cb22aee399980cfa8c585a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb59f9a83f08eba9d0f7fd96aaefc03d10dfafe405c55865323ddfcc100ccda8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-12T19:11:46Z",
    "title_canon_sha256": "499c86065bbec10c135941aea8fc642ca9b9865e76d8b52f0634e216549e0782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2879",
    "kind": "arxiv",
    "version": 2
  }
}