Pith Number

pith:XSWTT7ZL

pith:2014:XSWTT7ZLPQZ3W347HVDNAD66I5

not attested not anchored not stored refs pending

Phase transition in loop percolation

Art\"em Sapozhnikov, Yinshan Chang

arxiv:1403.5687 v1 · 2014-03-22 · 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{XSWTT7ZLPQZ3W347HVDNAD66I5}

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	2026-05-18T02:55:49.132464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcad39ff2b7c33bb6f9f3d46d00fde477b314f4680e006725a2fec31db27420d

Aliases

arxiv: 1403.5687 · arxiv_version: 1403.5687v1 · doi: 10.48550/arxiv.1403.5687 · pith_short_12: XSWTT7ZLPQZ3 · pith_short_16: XSWTT7ZLPQZ3W347 · pith_short_8: XSWTT7ZL

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/XSWTT7ZLPQZ3W347HVDNAD66I5 \
  | 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: bcad39ff2b7c33bb6f9f3d46d00fde477b314f4680e006725a2fec31db27420d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba655b7506e9e68d2e1c3120fc4e6679d98743000b682b373a193f11df9f017",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-22T17:01:15Z",
    "title_canon_sha256": "789a21b4b11f7ffb6f2b8045310a720302f42d5f98f81622090268579538c9a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5687",
    "kind": "arxiv",
    "version": 1
  }
}