Pith Number

pith:POUBVNU4

pith:2010:POUBVNU4LDMJ6VND5RMSETK5FB

not attested not anchored not stored refs pending

The tautological ring of $M_{1,n}^{ct}$

Mehdi Tavakol

arxiv:1007.3091 v1 · 2010-07-19 · 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{POUBVNU4LDMJ6VND5RMSETK5FB}

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	2026-05-18T00:45:05.025707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba81ab69c58d89f55a3ec59224d5d285728281698ecfd5389d65d5a196f5c34

Aliases

arxiv: 1007.3091 · arxiv_version: 1007.3091v1 · doi: 10.48550/arxiv.1007.3091 · pith_short_12: POUBVNU4LDMJ · pith_short_16: POUBVNU4LDMJ6VND · pith_short_8: POUBVNU4

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/POUBVNU4LDMJ6VND5RMSETK5FB \
  | 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: 7ba81ab69c58d89f55a3ec59224d5d285728281698ecfd5389d65d5a196f5c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a75359e1793d75e56c0486f5a63db6c81f1fc49856d0cff3d9ee0ff38e9d438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-19T09:07:51Z",
    "title_canon_sha256": "7f7545f61b01b678949ab399789de6e130418740dc84b47cb03538c9b7deec1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3091",
    "kind": "arxiv",
    "version": 1
  }
}