Pith Number

pith:M4ORV34F

pith:2016:M4ORV34FH4ABWVW7AJ43ENUMQW

not attested not anchored not stored refs pending

Volume-type functions for numerical cycle classes

Brian Lehmann

arxiv:1601.03276 v1 · 2016-01-13 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4ORV34FH4ABWVW7AJ43ENUMQW}

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	2026-05-18T00:50:22.740078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671d1aef853f001b56df0279b2368c8590b712ac40c15f7a2e18237eb5d7cbac

Aliases

arxiv: 1601.03276 · arxiv_version: 1601.03276v1 · doi: 10.48550/arxiv.1601.03276 · pith_short_12: M4ORV34FH4AB · pith_short_16: M4ORV34FH4ABWVW7 · pith_short_8: M4ORV34F

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/M4ORV34FH4ABWVW7AJ43ENUMQW \
  | 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: 671d1aef853f001b56df0279b2368c8590b712ac40c15f7a2e18237eb5d7cbac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27c5e90c211f59a3bd98404518553dba40806db341ba3740380f838808ee62ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-13T15:19:28Z",
    "title_canon_sha256": "376debe0123d699a7f10cc377d417d284fd6cbd3cc86db0d756fbfd299e04428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03276",
    "kind": "arxiv",
    "version": 1
  }
}