Pith Number

pith:TD44DYYY

pith:2016:TD44DYYYUUOYMGDANNEGPAZ46F

not attested not anchored not stored refs pending

Shedding vertices of vertex decomposable graphs

Adam Van Tuyl, Jonathan Baker, Kevin N. Vander Meulen

arxiv:1606.04447 v2 · 2016-06-14 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TD44DYYYUUOYMGDANNEGPAZ46F}

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	2026-05-18T00:07:12.575082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f9c1e318a51d8618606b4867833cf149e9fbc8e59668fa45edd78af9cf8a39

Aliases

arxiv: 1606.04447 · arxiv_version: 1606.04447v2 · doi: 10.48550/arxiv.1606.04447 · pith_short_12: TD44DYYYUUOY · pith_short_16: TD44DYYYUUOYMGDA · pith_short_8: TD44DYYY

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/TD44DYYYUUOYMGDANNEGPAZ46F \
  | 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: 98f9c1e318a51d8618606b4867833cf149e9fbc8e59668fa45edd78af9cf8a39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdaf4720b12262620544f73707b3b724712ae4f031c198e428f6397280d52931",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-14T16:35:33Z",
    "title_canon_sha256": "b1ad12b6647970e2e06697dab1bb9e40aee5a535e0656437d8369bd84f309716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04447",
    "kind": "arxiv",
    "version": 2
  }
}