Pith Number

pith:7KAPOJKT

pith:2011:7KAPOJKTK6TCBZBOZUGWANCTG6

not attested not anchored not stored refs pending

Some applications of weight structures of Bondarko

Vadim Vologodsky

arxiv:1102.0579 v2 · 2011-02-02 · 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{7KAPOJKTK6TCBZBOZUGWANCTG6}

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	2026-05-18T04:06:43.577727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa80f7255357a620e42ecd0d603453379ec3d7ccfd1cd4dba3a8d18609db38f6

Aliases

arxiv: 1102.0579 · arxiv_version: 1102.0579v2 · doi: 10.48550/arxiv.1102.0579 · pith_short_12: 7KAPOJKTK6TC · pith_short_16: 7KAPOJKTK6TCBZBO · pith_short_8: 7KAPOJKT

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/7KAPOJKTK6TCBZBOZUGWANCTG6 \
  | 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: fa80f7255357a620e42ecd0d603453379ec3d7ccfd1cd4dba3a8d18609db38f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "759e35e9ef5a0aee6fadd3dc37a7894594abaf7734c8ea7f7d3919c2e1999280",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-02T22:36:18Z",
    "title_canon_sha256": "f871e0f5ed5d12376c52e9a762e12ea09ea3796a708a6b2d02a6a0bf5ecc1f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0579",
    "kind": "arxiv",
    "version": 2
  }
}