Pith Number

pith:P4ZE7M6D

pith:2016:P4ZE7M6DYSCGYWDZVIQNIKKK3Y

not attested not anchored not stored refs pending

Treeable Graphings Are Local Limits of Finite Graphs

Lucas Hosseini, Patrice Ossona de Mendez

arxiv:1601.05580 v1 · 2016-01-21 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4ZE7M6DYSCGYWDZVIQNIKKK3Y}

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	2026-05-18T01:22:13.457516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f324fb3c3c4846c5879aa20d4294ade13481d775f3469de82db8afcb189856b

Aliases

arxiv: 1601.05580 · arxiv_version: 1601.05580v1 · doi: 10.48550/arxiv.1601.05580 · pith_short_12: P4ZE7M6DYSCG · pith_short_16: P4ZE7M6DYSCGYWDZ · pith_short_8: P4ZE7M6D

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/P4ZE7M6DYSCGYWDZVIQNIKKK3Y \
  | 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: 7f324fb3c3c4846c5879aa20d4294ade13481d775f3469de82db8afcb189856b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d4afbeb47b39a1673fe95141342ae6a6fb8124b9797c45a29599a95426140b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-21T10:29:11Z",
    "title_canon_sha256": "3c7541d449f5f30a7f96187955a3f13d6b561b559482829cfb328757a67553da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05580",
    "kind": "arxiv",
    "version": 1
  }
}