Pith Number

pith:52EFPJED

pith:2009:52EFPJEDFUPNHA5DUBDPU2OKBH

not attested not anchored not stored refs pending

On the rational cohomology of moduli spaces of curves with level structures

Claudio Fontanari, Gilberto Bini

arxiv:0908.1853 v2 · 2009-08-13 · 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{52EFPJEDFUPNHA5DUBDPU2OKBH}

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	2026-05-18T04:30:03.886262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8857a4832d1ed383a3a046fa69ca09cbbe85594aea7a6a97d017866edccb7d

Aliases

arxiv: 0908.1853 · arxiv_version: 0908.1853v2 · doi: 10.48550/arxiv.0908.1853 · pith_short_12: 52EFPJEDFUPN · pith_short_16: 52EFPJEDFUPNHA5D · pith_short_8: 52EFPJED

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/52EFPJEDFUPNHA5DUBDPU2OKBH \
  | 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: ee8857a4832d1ed383a3a046fa69ca09cbbe85594aea7a6a97d017866edccb7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df93e1155f33861cfcc5d27cc1ad8c818f2a6fa450183d024d1f083483ba2417",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-13T09:43:16Z",
    "title_canon_sha256": "92cb93153cd6b1ef2f10e81edc8d6e3bb0c617cd1ddb6df8c739ec8d618ae75c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1853",
    "kind": "arxiv",
    "version": 2
  }
}