Pith Number

pith:WKR5JUVK

pith:2017:WKR5JUVKG2JBVM2QRBNOUE7ZNJ

not attested not anchored not stored refs pending

Iitaka dimension for cycles

Brian Lehmann

arxiv:1708.02957 v1 · 2017-08-09 · 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{WKR5JUVKG2JBVM2QRBNOUE7ZNJ}

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	2026-05-18T00:38:17.622491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2a3d4d2aa36921ab350885aea13f96a58eeec533de0dd60e45201a14404401a

Aliases

arxiv: 1708.02957 · arxiv_version: 1708.02957v1 · doi: 10.48550/arxiv.1708.02957 · pith_short_12: WKR5JUVKG2JB · pith_short_16: WKR5JUVKG2JBVM2Q · pith_short_8: WKR5JUVK

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/WKR5JUVKG2JBVM2QRBNOUE7ZNJ \
  | 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: b2a3d4d2aa36921ab350885aea13f96a58eeec533de0dd60e45201a14404401a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9432b7929598f9663f3466797dfade405ab5f45b72146a4b60564cc6df7d729",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-08-09T18:03:35Z",
    "title_canon_sha256": "30630b2b1464e88f6cc4645f734066aba4e8079fe0a60feffefab8da8de1685c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02957",
    "kind": "arxiv",
    "version": 1
  }
}