Pith Number

pith:OMNXM3IN

pith:2013:OMNXM3INS6WXBD2D63VXKOW76O

not attested not anchored not stored refs pending

On the cycle class map for zero-cycles over local fields

H\'el\`ene Esnault, Olivier Wittenberg

arxiv:1305.1182 v4 · 2013-05-06 · math.AG · 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{OMNXM3INS6WXBD2D63VXKOW76O}

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	2026-07-05T00:20:29.832343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

731b766d0d97ad708f43f6eb753adff39871d75bafd3b35d57f6032406bc98af

Aliases

arxiv: 1305.1182 · arxiv_version: 1305.1182v4 · doi: 10.48550/arxiv.1305.1182 · pith_short_12: OMNXM3INS6WX · pith_short_16: OMNXM3INS6WXBD2D · pith_short_8: OMNXM3IN

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/OMNXM3INS6WXBD2D63VXKOW76O \
  | 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: 731b766d0d97ad708f43f6eb753adff39871d75bafd3b35d57f6032406bc98af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04524b02e553fbba8286c5314cd132389a05a7b8199c3527a5918c3843514f6d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-06T13:32:01Z",
    "title_canon_sha256": "018d6475c772458abbbc467355ca60547d78079d42bf90a4cf67df16bb3a829c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1182",
    "kind": "arxiv",
    "version": 4
  }
}