Pith Number

pith:QGEQ77AS

pith:2016:QGEQ77ASZR54TI3X5UXJ3PRFTG

not attested not anchored not stored refs pending

Effective criteria for bigraded birational maps

Aron Simis, Laurent Bus\'e (GALAAD2), Marc Chardin (IMJ), Nicol\'as Botbol (DM-UBA), Quang Hoa Tran (IMJ), Seyed Hamid Hassanzadeh

arxiv:1602.07490 v1 · 2016-02-24 · math.AC · 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{QGEQ77ASZR54TI3X5UXJ3PRFTG}

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	2026-05-18T01:20:02.901172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81890ffc12cc7bc9a377ed2e9dbe2599bcd18affd6c8b9c3b422a80d787fe982

Aliases

arxiv: 1602.07490 · arxiv_version: 1602.07490v1 · doi: 10.48550/arxiv.1602.07490 · pith_short_12: QGEQ77ASZR54 · pith_short_16: QGEQ77ASZR54TI3X · pith_short_8: QGEQ77AS

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/QGEQ77ASZR54TI3X5UXJ3PRFTG \
  | 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: 81890ffc12cc7bc9a377ed2e9dbe2599bcd18affd6c8b9c3b422a80d787fe982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4061c9cad57402ec8a160c388db4dedc1ac9e9071e9fd0e6c7fe90229a71afc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-24T13:21:40Z",
    "title_canon_sha256": "ba5f27ea59bc52c266bdbb401b53a477bd59e65de2883507104328a2371d916f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07490",
    "kind": "arxiv",
    "version": 1
  }
}