Pith Number

pith:DM5WW7ET

pith:2003:DM5WW7ETU4CFLZY4QXGDGRJIV5

not attested not anchored not stored refs pending

Combinatorial classes on the moduli space of curves are tautological

Gabriele Mondello

arxiv:math/0303207 v2 · 2003-03-17 · math.AT · 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{DM5WW7ETU4CFLZY4QXGDGRJIV5}

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	2026-05-18T01:21:39.981293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3b6b7c93a70455e71c85cc334528af4644e50d3d2a003f3b1351f318ac43dc

Aliases

arxiv: math/0303207 · arxiv_version: math/0303207v2 · doi: 10.48550/arxiv.math/0303207 · pith_short_12: DM5WW7ETU4CF · pith_short_16: DM5WW7ETU4CFLZY4 · pith_short_8: DM5WW7ET

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/DM5WW7ETU4CFLZY4QXGDGRJIV5 \
  | 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: 1b3b6b7c93a70455e71c85cc334528af4644e50d3d2a003f3b1351f318ac43dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f06399a951aa5b5863325be8a2b4bb1a34e01113e34072548d2637bde12ac9b1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2003-03-17T18:56:44Z",
    "title_canon_sha256": "78373cb13eabb4f2a5081196f409bb7dbb4ed5637986d2a79a1475607aad2713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0303207",
    "kind": "arxiv",
    "version": 2
  }
}