Pith Number

pith:NP7DZP7C

pith:2003:NP7DZP7CHIHUF77LX47DPYPH4J

not attested not anchored not stored refs pending

Arakelov invariants of Riemann surfaces

Robin de Jong

arxiv:math/0312357 v2 · 2003-12-18 · math.NT · 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{NP7DZP7CHIHUF77LX47DPYPH4J}

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	2026-05-18T03:59:12.590338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bfe3cbfe23a0f42ffebbf3e37e1e7e2524628917798da63473b5eee9de18307

Aliases

arxiv: math/0312357 · arxiv_version: math/0312357v2 · doi: 10.48550/arxiv.math/0312357 · pith_short_12: NP7DZP7CHIHU · pith_short_16: NP7DZP7CHIHUF77L · pith_short_8: NP7DZP7C

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/NP7DZP7CHIHUF77LX47DPYPH4J \
  | 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: 6bfe3cbfe23a0f42ffebbf3e37e1e7e2524628917798da63473b5eee9de18307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0197487ab7f2c5736f05d1615c66de0220eee95b3be2027eed54fddf2f4e70",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-12-18T13:20:44Z",
    "title_canon_sha256": "70fe9f6c2a7e5200335bfa1660136b8e33804189bffc30c43501302b2a7cd30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312357",
    "kind": "arxiv",
    "version": 2
  }
}