Pith Number

pith:3PYIDNS3

pith:2017:3PYIDNS3IJLM5JJ7L53HERWQ34

not attested not anchored not stored refs pending

On the Riemann-Roch formula without projective hypothesis

A. Navarro, J. Navarro

arxiv:1705.10769 v1 · 2017-05-30 · math.AT · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PYIDNS3IJLM5JJ7L53HERWQ34}

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	2026-05-18T00:43:23.553616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf081b65b4256cea53f5f767246d0df3fabfffaf0ddc92d029496596fccd920

Aliases

arxiv: 1705.10769 · arxiv_version: 1705.10769v1 · doi: 10.48550/arxiv.1705.10769 · pith_short_12: 3PYIDNS3IJLM · pith_short_16: 3PYIDNS3IJLM5JJ7 · pith_short_8: 3PYIDNS3

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/3PYIDNS3IJLM5JJ7L53HERWQ34 \
  | 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: dbf081b65b4256cea53f5f767246d0df3fabfffaf0ddc92d029496596fccd920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9dabbabbd336c97bc98a39af138c45d468aa338d1abcb052991dcbe17e13d5",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-05-30T17:45:34Z",
    "title_canon_sha256": "6abf704b37f0f9e3b07779d1f1d83f39a64d2c886c5da165b80129c96aa59b58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10769",
    "kind": "arxiv",
    "version": 1
  }
}