Pith Number

pith:VGOTHVD6

pith:2014:VGOTHVD6UMAU2BWCIY5ROKH73V

not attested not anchored not stored refs pending

On functions with a unique identification minor

Erkko Lehtonen

arxiv:1412.8595 v1 · 2014-12-30 · 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{VGOTHVD6UMAU2BWCIY5ROKH73V}

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	2026-05-18T00:57:38.424832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a99d33d47ea3014d06c2463b1728ffdd595a1010f7a24374e220cd3f51100de1

Aliases

arxiv: 1412.8595 · arxiv_version: 1412.8595v1 · doi: 10.48550/arxiv.1412.8595 · pith_short_12: VGOTHVD6UMAU · pith_short_16: VGOTHVD6UMAU2BWC · pith_short_8: VGOTHVD6

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/VGOTHVD6UMAU2BWCIY5ROKH73V \
  | 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: a99d33d47ea3014d06c2463b1728ffdd595a1010f7a24374e220cd3f51100de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9867f450016054c6e5e1c4b4c98bc739495a7d7035ec54ff802c1042f5e39177",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-30T09:56:57Z",
    "title_canon_sha256": "ceb2305e801df7a01614c474f0265570d242db41be99e60085ef5f78fb621f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8595",
    "kind": "arxiv",
    "version": 1
  }
}