Pith Number

pith:LA3762OV

pith:2012:LA3762OV76GMEFDNMWMD3MGDVV

not attested not anchored not stored refs pending

On the Birational Nature of Lifting

Christian Liedtke, Matthew Satriano

arxiv:1202.2942 v2 · 2012-02-14 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LA3762OV76GMEFDNMWMD3MGDVV}

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	2026-05-18T03:01:56.629464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5837ff69d5ff8cc2146d65983db0c3ad5629e23c75b35d147583f5fe8295d76b

Aliases

arxiv: 1202.2942 · arxiv_version: 1202.2942v2 · doi: 10.48550/arxiv.1202.2942 · pith_short_12: LA3762OV76GM · pith_short_16: LA3762OV76GMEFDN · pith_short_8: LA3762OV

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/LA3762OV76GMEFDNMWMD3MGDVV \
  | 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: 5837ff69d5ff8cc2146d65983db0c3ad5629e23c75b35d147583f5fe8295d76b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a009394f5bb32552f728bd0f69720db66caea6ac34e10f62471b4609614633",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-14T05:59:10Z",
    "title_canon_sha256": "01c941a734c30b0789d7265420786ad897370069d634d1f0efbdc5b2546109ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2942",
    "kind": "arxiv",
    "version": 2
  }
}