Pith Number

pith:VSUDMH4R

pith:2018:VSUDMH4R3MZ3DSDVXEVFX75627

not attested not anchored not stored refs pending

Graph cover-saturation

Danny Rorabaugh

arxiv:1801.04250 v2 · 2018-01-12 · 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{VSUDMH4R3MZ3DSDVXEVFX75627}

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	2026-05-17T23:45:46.952651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aca8361f91db33b1c875b92a5bffbed7cbf010dc32b158bed84a8c945d938989

Aliases

arxiv: 1801.04250 · arxiv_version: 1801.04250v2 · doi: 10.48550/arxiv.1801.04250 · pith_short_12: VSUDMH4R3MZ3 · pith_short_16: VSUDMH4R3MZ3DSDV · pith_short_8: VSUDMH4R

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/VSUDMH4R3MZ3DSDVXEVFX75627 \
  | 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: aca8361f91db33b1c875b92a5bffbed7cbf010dc32b158bed84a8c945d938989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b5f345e78bf4cf5b0840d1e1cdae387821a89655c498f4c79a17c94518e4f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-12T17:55:38Z",
    "title_canon_sha256": "f2a44111c4813640cb0ec7adce153865f3d3cf7f4ebae88ab14f7b7e84433ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04250",
    "kind": "arxiv",
    "version": 2
  }
}