Pith Number

pith:APFYKB6O

pith:2025:APFYKB6OUDJ2C6GYWNSGJO4Q3O

not attested not anchored not stored refs pending

Model-oriented Graph Distances via Partially Ordered Sets

Armeen Taeb, F. Richard Guo, Leonard Henckel

arxiv:2511.10625 v3 · 2025-11-13 · math.ST · stat.ME · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APFYKB6OUDJ2C6GYWNSGJO4Q3O}

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	2026-07-01T01:17:42.875755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03cb8507cea0d3a178d8b36464bb90dbaa20818358051a89edc91c67986ea6b3

Aliases

arxiv: 2511.10625 · arxiv_version: 2511.10625v3 · doi: 10.48550/arxiv.2511.10625 · pith_short_12: APFYKB6OUDJ2 · pith_short_16: APFYKB6OUDJ2C6GY · pith_short_8: APFYKB6O

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/APFYKB6OUDJ2C6GYWNSGJO4Q3O \
  | 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: 03cb8507cea0d3a178d8b36464bb90dbaa20818358051a89edc91c67986ea6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27dc086a2bee02af864a8555a9438b989c36892f3acd87f5bcd7c64a53a62901",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-11-13T18:50:21Z",
    "title_canon_sha256": "c9099ec0f8a8e013938dac8b88418dd0c65012445204866b3584a05f13a81233"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.10625",
    "kind": "arxiv",
    "version": 3
  }
}