Pith Number

pith:WVJDBMZD

pith:2016:WVJDBMZDWA44S7LTOZLEMEB6HY

not attested not anchored not stored refs pending

Higher-dimensional Contou-Carr\`ere symbol and continuous automorphisms

Denis Osipov, Sergey Gorchinskiy

arxiv:1604.08049 v2 · 2016-04-27 · 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{WVJDBMZDWA44S7LTOZLEMEB6HY}

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	2026-05-18T00:54:08.948269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b55230b323b039c97d73765646103e3e03fd1d549f696e2f754cf13dfcac45df

Aliases

arxiv: 1604.08049 · arxiv_version: 1604.08049v2 · doi: 10.48550/arxiv.1604.08049 · pith_short_12: WVJDBMZDWA44 · pith_short_16: WVJDBMZDWA44S7LT · pith_short_8: WVJDBMZD

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/WVJDBMZDWA44S7LTOZLEMEB6HY \
  | 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: b55230b323b039c97d73765646103e3e03fd1d549f696e2f754cf13dfcac45df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d98011deaeb94ff34d2ee7732fae8a01ba87de73df3c939726c8dbb4ae17183",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-27T12:48:19Z",
    "title_canon_sha256": "aa118b3cd2a6eb7ed4f4643110952d037758ea14e1338262ea0616fefd0f6d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08049",
    "kind": "arxiv",
    "version": 2
  }
}