Pith Number

pith:PYP7ZC27

pith:2012:PYP7ZC27MPUHPWROLWOTITI7VM

not attested not anchored not stored refs pending

Discriminants in the Grothendieck Ring

Melanie Matchett Wood, Ravi Vakil

arxiv:1208.3166 v2 · 2012-08-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYP7ZC27MPUHPWROLWOTITI7VM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:28:21.605706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e1ffc8b5f63e877da2e5d9d344d1fab3315e965374ea090206cc68cd056a42c

Aliases

arxiv: 1208.3166 · arxiv_version: 1208.3166v2 · doi: 10.48550/arxiv.1208.3166 · pith_short_12: PYP7ZC27MPUH · pith_short_16: PYP7ZC27MPUHPWRO · pith_short_8: PYP7ZC27

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/PYP7ZC27MPUHPWROLWOTITI7VM \
  | 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: 7e1ffc8b5f63e877da2e5d9d344d1fab3315e965374ea090206cc68cd056a42c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3d5826d81cd34e837719f9ea771b7feab3876f9f838a7d5ede6edd149237320",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-15T17:42:13Z",
    "title_canon_sha256": "7d7ea70da5fc86c299a037a376b31bb3f86ad11e07515cb9c644f73ca1400620"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3166",
    "kind": "arxiv",
    "version": 2
  }
}