Pith Number

pith:PQZEDGOM

pith:2015:PQZEDGOMXIFAAHDI3JJK4P5VRB

not attested not anchored not stored refs pending

Supercritical minimum mean-weight cycles

David B. Wilson, Jian Ding, Nike Sun

arxiv:1504.00918 v1 · 2015-04-03 · 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{PQZEDGOMXIFAAHDI3JJK4P5VRB}

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	2026-05-18T02:19:36.740835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c324199ccba0a001c68da52ae3fb5886dfa840866dc1002e31777c5d7a09eeb

Aliases

arxiv: 1504.00918 · arxiv_version: 1504.00918v1 · doi: 10.48550/arxiv.1504.00918 · pith_short_12: PQZEDGOMXIFA · pith_short_16: PQZEDGOMXIFAAHDI · pith_short_8: PQZEDGOM

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/PQZEDGOMXIFAAHDI3JJK4P5VRB \
  | 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: 7c324199ccba0a001c68da52ae3fb5886dfa840866dc1002e31777c5d7a09eeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adccbeddfd7db382168e539b939811fcd7446766729b417d582d5c460fac991a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-03T19:44:32Z",
    "title_canon_sha256": "8b1f994b5445a22707959bf96f10d60dee26bd91256b02dfd879fbec0df51e67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00918",
    "kind": "arxiv",
    "version": 1
  }
}