Pith Number

pith:GAULMVEM

pith:2015:GAULMVEMZPUBXWXAYWOVLUAQMB

not attested not anchored not stored refs pending

Tree sets

Reinhard Diestel

arxiv:1512.03781 v3 · 2015-12-11 · 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{GAULMVEMZPUBXWXAYWOVLUAQMB}

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 vertex sets inducing tangles

Receipt and verification

First computed	2026-05-18T00:50:01.755574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3028b6548ccbe81bdae0c59d55d0106054eb63afc8c72006a45237c7c8d3068f

Aliases

arxiv: 1512.03781 · arxiv_version: 1512.03781v3 · doi: 10.48550/arxiv.1512.03781 · pith_short_12: GAULMVEMZPUB · pith_short_16: GAULMVEMZPUBXWXA · pith_short_8: GAULMVEM

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/GAULMVEMZPUBXWXAYWOVLUAQMB \
  | 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: 3028b6548ccbe81bdae0c59d55d0106054eb63afc8c72006a45237c7c8d3068f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b445f569dec62a10a353948cd82658895355e0ce4b01cba28ffaeb831ec4cf22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-11T20:06:55Z",
    "title_canon_sha256": "f0109f60901bcd0c4003c370e0a51e479a058d35b29b50e53ffb7f7ab3549f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03781",
    "kind": "arxiv",
    "version": 3
  }
}