Pith Number

pith:D6O5FY2I

pith:2011:D6O5FY2IDH6FN3SVEOG7DZ3NMA

not attested not anchored not stored refs pending

The discriminant and the determinant of a hypersurface of even dimension

Takeshi Saito

arxiv:1110.1717 v2 · 2011-10-08 · 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{D6O5FY2IDH6FN3SVEOG7DZ3NMA}

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	2026-05-18T02:00:16.197146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9dd2e34819fc56ee55238df1e76d6023ba4d6df7c774617958dca1065e5455

Aliases

arxiv: 1110.1717 · arxiv_version: 1110.1717v2 · doi: 10.48550/arxiv.1110.1717 · pith_short_12: D6O5FY2IDH6F · pith_short_16: D6O5FY2IDH6FN3SV · pith_short_8: D6O5FY2I

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/D6O5FY2IDH6FN3SVEOG7DZ3NMA \
  | 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: 1f9dd2e34819fc56ee55238df1e76d6023ba4d6df7c774617958dca1065e5455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15749e5baae7a51069b149e24087ec53b12115487329c204601edf519fc6fba0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-08T09:44:02Z",
    "title_canon_sha256": "7297f572be3df1f8ecd986cba380b51f0fcd1ef1dcf82cb1fda82cd908682ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1717",
    "kind": "arxiv",
    "version": 2
  }
}