Pith Number

pith:U2GDGZIR

pith:2015:U2GDGZIRB6OSVQAQ2ZC2XXFFLB

not attested not anchored not stored refs pending

Odd number and Trapezoidal number

Masanori Ando

arxiv:1504.04121 v1 · 2015-04-16 · 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{U2GDGZIRB6OSVQAQ2ZC2XXFFLB}

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	2026-05-18T02:18:39.792593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a68c3365110f9d2ac010d645abdca5584f28591d381f89e58d9fea763b52effd

Aliases

arxiv: 1504.04121 · arxiv_version: 1504.04121v1 · doi: 10.48550/arxiv.1504.04121 · pith_short_12: U2GDGZIRB6OS · pith_short_16: U2GDGZIRB6OSVQAQ · pith_short_8: U2GDGZIR

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/U2GDGZIRB6OSVQAQ2ZC2XXFFLB \
  | 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: a68c3365110f9d2ac010d645abdca5584f28591d381f89e58d9fea763b52effd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e88a0e4122fece09813a40275c74b055abc77ee12a1e032eb45ad18d291ab77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-16T07:46:11Z",
    "title_canon_sha256": "10d369b473afa94ffa7ba64e6111e31dd556533aaccf255638c5bf18a6f646c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04121",
    "kind": "arxiv",
    "version": 1
  }
}