Pith Number

pith:6XAM4T2F

pith:2013:6XAM4T2FBSGBROWC6NYY3UDGKL

not attested not anchored not stored refs pending

On the tautological ring of $M_{g,n}$

Claudio Fontanari, Gilberto Bini

arxiv:1307.7266 v3 · 2013-07-27 · 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{6XAM4T2FBSGBROWC6NYY3UDGKL}

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	2026-05-18T03:13:57.757766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c0ce4f450c8c18bac2f3718dd06652ef44a8566ecba10f69402e7237fe292f

Aliases

arxiv: 1307.7266 · arxiv_version: 1307.7266v3 · doi: 10.48550/arxiv.1307.7266 · pith_short_12: 6XAM4T2FBSGB · pith_short_16: 6XAM4T2FBSGBROWC · pith_short_8: 6XAM4T2F

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/6XAM4T2FBSGBROWC6NYY3UDGKL \
  | 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: f5c0ce4f450c8c18bac2f3718dd06652ef44a8566ecba10f69402e7237fe292f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2928c25e61e2942ebb660af88407ad765fd00f68c40fbdb0bca64aa69126f832",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-27T14:39:59Z",
    "title_canon_sha256": "51532b852d3de339ef1b54c884542485e82691899ece8051c96202dbb0a59af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7266",
    "kind": "arxiv",
    "version": 3
  }
}