Pith Number

pith:AUW3P6FJ

pith:2012:AUW3P6FJ5XFSVSOZJVYM4GOTED

not attested not anchored not stored refs pending

Universal Polynomials for Tautological Integrals on Hilbert Schemes

J{\o}rgen Vold Rennemo

arxiv:1205.1851 v2 · 2012-05-09 · 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{AUW3P6FJ5XFSVSOZJVYM4GOTED}

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	2026-05-18T00:50:48.341963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

052db7f8a9edcb2ac9d94d70ce19d320c40464c1479793072639a791c050cfd7

Aliases

arxiv: 1205.1851 · arxiv_version: 1205.1851v2 · doi: 10.48550/arxiv.1205.1851 · pith_short_12: AUW3P6FJ5XFS · pith_short_16: AUW3P6FJ5XFSVSOZ · pith_short_8: AUW3P6FJ

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/AUW3P6FJ5XFSVSOZJVYM4GOTED \
  | 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: 052db7f8a9edcb2ac9d94d70ce19d320c40464c1479793072639a791c050cfd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688f7319652681c3776fb5de969d3e67623c83a341748581aff31476fc523c5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-09T00:22:34Z",
    "title_canon_sha256": "b1c9afa0f761e3d05bfb7aaeed9c2b44c5e06354c1bfd6fbfbca1ff534ed5ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1851",
    "kind": "arxiv",
    "version": 2
  }
}