Pith Number

pith:UR2FLXJ6

pith:2010:UR2FLXJ6Y3RIET442A6DVJSTBY

not attested not anchored not stored refs pending

Fano 3-folds in codimension 4, Tom and Jerry, Part I

Gavin Brown, Michael Kerber, Miles Reid

arxiv:1009.4313 v2 · 2010-09-22 · math.AG · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UR2FLXJ6Y3RIET442A6DVJSTBY}

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	2026-05-17T23:53:36.868736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47455dd3ec6e2824f9cd03c3aa6530e2dcffb7be09828183cd7b20b815195fd

Aliases

arxiv: 1009.4313 · arxiv_version: 1009.4313v2 · doi: 10.48550/arxiv.1009.4313 · pith_short_12: UR2FLXJ6Y3RI · pith_short_16: UR2FLXJ6Y3RIET44 · pith_short_8: UR2FLXJ6

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/UR2FLXJ6Y3RIET442A6DVJSTBY \
  | 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: a47455dd3ec6e2824f9cd03c3aa6530e2dcffb7be09828183cd7b20b815195fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c5f787f41e7a5eb92bc09367477270e3ded3649b5aa2ff79cdf5978a16d2a2e",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-22T09:55:49Z",
    "title_canon_sha256": "261a68561385792b062fe3c663ade90413da722d2ad31058f7505a14d9a31eb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4313",
    "kind": "arxiv",
    "version": 2
  }
}