Pith Number

pith:HQ6U5KY6

pith:2003:HQ6U5KY63IPEBSTRN5G6B4FRWV

not attested not anchored not stored refs pending

Relative maps and tautological classes

C. Faber, R. Pandharipande

arxiv:math/0304485 v1 · 2003-04-29 · 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{HQ6U5KY63IPEBSTRN5G6B4FRWV}

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	2026-07-04T14:37:16.404725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3d4eab1eda1e40ca716f4de0f0b1b57e3672526807d86290e18f0a285fd06d

Aliases

arxiv: math/0304485 · arxiv_version: math/0304485v1 · doi: 10.48550/arxiv.math/0304485 · pith_short_12: HQ6U5KY63IPE · pith_short_16: HQ6U5KY63IPEBSTR · pith_short_8: HQ6U5KY6

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/HQ6U5KY63IPEBSTRN5G6B4FRWV \
  | 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: 3c3d4eab1eda1e40ca716f4de0f0b1b57e3672526807d86290e18f0a285fd06d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39a135c3762837bc79ffa154c7168fbb5ee9a1b94655a304a9e87676481ba1aa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-04-29T19:16:27Z",
    "title_canon_sha256": "b0ece848d0be019323e61fb245d73d7621f0b7213aee285148de48800020b368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304485",
    "kind": "arxiv",
    "version": 1
  }
}