Pith Number

pith:PAXDOHCX

pith:2018:PAXDOHCXU52BIURZXU2UQ2JC2J

not attested not anchored not stored refs pending

The Deligne pairing and a functorial Riemann Roch theorem in positive characteristic

Quan Xu

arxiv:1809.01981 v1 · 2018-09-03 · 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{PAXDOHCXU52BIURZXU2UQ2JC2J}

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	2026-05-18T00:05:13.639148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782e371c57a774145239bd35486922d2504bf49e3192529c7cf2461182bce8d6

Aliases

arxiv: 1809.01981 · arxiv_version: 1809.01981v1 · doi: 10.48550/arxiv.1809.01981 · pith_short_12: PAXDOHCXU52B · pith_short_16: PAXDOHCXU52BIURZ · pith_short_8: PAXDOHCX

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/PAXDOHCXU52BIURZXU2UQ2JC2J \
  | 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: 782e371c57a774145239bd35486922d2504bf49e3192529c7cf2461182bce8d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3f0646349bd078fea3a93a69b56628b3f38bc72b46974a41b9f6b9a666d35cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-03T13:40:53Z",
    "title_canon_sha256": "5f7b986d4fcee417335db2daf8dfebd2802fd03933f0fafc0c2b1af83c9e34a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01981",
    "kind": "arxiv",
    "version": 1
  }
}