Pith Number

pith:UY2DVHNT

pith:2015:UY2DVHNTACJZ7VYBK7576G2MKT

not attested not anchored not stored refs pending

Incidences and pairs of dot products

Ben Lund

arxiv:1509.01072 v2 · 2015-09-03 · 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{UY2DVHNTACJZ7VYBK7576G2MKT}

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	2026-05-18T01:33:51.139201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6343a9db300939fd70157fbff1b4c54ddaf59f36c37d75e011ae471c3620758

Aliases

arxiv: 1509.01072 · arxiv_version: 1509.01072v2 · doi: 10.48550/arxiv.1509.01072 · pith_short_12: UY2DVHNTACJZ · pith_short_16: UY2DVHNTACJZ7VYB · pith_short_8: UY2DVHNT

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/UY2DVHNTACJZ7VYBK7576G2MKT \
  | 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: a6343a9db300939fd70157fbff1b4c54ddaf59f36c37d75e011ae471c3620758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "194a2df475620ed1651bd5e79250d5f05106ffc130fc4e000306fa912d6c6b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-03T13:22:41Z",
    "title_canon_sha256": "4063dce07082ce301a032c4395a61429c4a0aa782444b72d569077162e7fd1ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01072",
    "kind": "arxiv",
    "version": 2
  }
}