Pith Number

pith:6ZMTIAC6

pith:2000:6ZMTIAC6PDO527ZBGWVIHNYPRV

not attested not anchored not stored refs pending

Logarithmic series and Hodge integrals in the tautological ring (with an appendix by D. Zagier)

C. Faber, R. Pandharipande

arxiv:math/0002112 v3 · 2000-02-14 · 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{6ZMTIAC6PDO527ZBGWVIHNYPRV}

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	2026-07-04T14:34:22.364808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f65934005e78dddd7f2135aa83b70f8d778dcf8472e3bcfa531ea74162b587ea

Aliases

arxiv: math/0002112 · arxiv_version: math/0002112v3 · doi: 10.48550/arxiv.math/0002112 · pith_short_12: 6ZMTIAC6PDO5 · pith_short_16: 6ZMTIAC6PDO527ZB · pith_short_8: 6ZMTIAC6

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/6ZMTIAC6PDO527ZBGWVIHNYPRV \
  | 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: f65934005e78dddd7f2135aa83b70f8d778dcf8472e3bcfa531ea74162b587ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9e3c6a173f7d985bafdb6e6fdd5390b5a91bd8726922e8d9d6f1454f2554a7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-02-14T23:24:55Z",
    "title_canon_sha256": "160dce373f8b99910bf75161aaa1a9fb246ee99696bbf9cd74f70445eeefaa9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002112",
    "kind": "arxiv",
    "version": 3
  }
}