Pith Number

pith:GAKBVLQG

pith:2015:GAKBVLQG36NFK4HJ44A3CVOWMY

not attested not anchored not stored refs pending

Shellability, vertex decomposability, and lexicographical products of graphs

Adam Van Tuyl, Kevin N. Vander Meulen

arxiv:1505.02838 v1 · 2015-05-12 · 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{GAKBVLQG36NFK4HJ44A3CVOWMY}

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	2026-05-18T02:14:15.894090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30141aae06df9a5570e9e701b155d66618377a79a6c7b2313b850707ec8e345e

Aliases

arxiv: 1505.02838 · arxiv_version: 1505.02838v1 · doi: 10.48550/arxiv.1505.02838 · pith_short_12: GAKBVLQG36NF · pith_short_16: GAKBVLQG36NFK4HJ · pith_short_8: GAKBVLQG

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/GAKBVLQG36NFK4HJ44A3CVOWMY \
  | 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: 30141aae06df9a5570e9e701b155d66618377a79a6c7b2313b850707ec8e345e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdca508059e3a9d4faaae31f9928f2052992bb4cf8d7ad330a6b9f844cf261ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-12T00:01:21Z",
    "title_canon_sha256": "a586bc10ff4287640183bef36e0204f35a580f2e633e05ce2fe3f6576cb38ca8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02838",
    "kind": "arxiv",
    "version": 1
  }
}