Pith Number

pith:VVBHZA4J

pith:2015:VVBHZA4J4TQFRQASWNPX3O74KI

not attested not anchored not stored refs pending

A higher-dimensional Contou-Carr\`ere symbol: local theory

Denis Osipov, Sergey Gorchinskiy

arxiv:1505.03829 v3 · 2015-05-14 · math.AG · math.KT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VVBHZA4J4TQFRQASWNPX3O74KI}

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	2026-05-18T01:19:44.498505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad427c8389e4e058c012b35f7dbbfc520c94db796b86d2f25d75c78ff6bb7ec6

Aliases

arxiv: 1505.03829 · arxiv_version: 1505.03829v3 · doi: 10.48550/arxiv.1505.03829 · pith_short_12: VVBHZA4J4TQF · pith_short_16: VVBHZA4J4TQFRQAS · pith_short_8: VVBHZA4J

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/VVBHZA4J4TQFRQASWNPX3O74KI \
  | 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: ad427c8389e4e058c012b35f7dbbfc520c94db796b86d2f25d75c78ff6bb7ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a34a97f1ef82e2536e69efd5d917418b0b76fd8f4ad330dee5b29de497105602",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-14T18:37:54Z",
    "title_canon_sha256": "14f89e4345bdf9e2397209f7c18ed8867f2342667a7c32e2099cd8be5535fab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03829",
    "kind": "arxiv",
    "version": 3
  }
}