Pith Number

pith:DIP56VLO

pith:2018:DIP56VLOMFM3OXGUSGOGW5MWJU

not attested not anchored not stored refs pending

Gabriel's theorem and birational geometry

John Calabrese, Roberto Pirisi

arxiv:1804.04078 v1 · 2018-04-11 · 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{DIP56VLOMFM3OXGUSGOGW5MWJU}

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	2026-05-18T00:18:42.161616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1fdf556e6159b75cd4919c6b75964d259d1eac5d10920be5441128e39a3260

Aliases

arxiv: 1804.04078 · arxiv_version: 1804.04078v1 · doi: 10.48550/arxiv.1804.04078 · pith_short_12: DIP56VLOMFM3 · pith_short_16: DIP56VLOMFM3OXGU · pith_short_8: DIP56VLO

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/DIP56VLOMFM3OXGUSGOGW5MWJU \
  | 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: 1a1fdf556e6159b75cd4919c6b75964d259d1eac5d10920be5441128e39a3260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea61c7910dce33b514df4e7ec459797a0fafc4e675bb197b61451b79841e7d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-11T16:35:15Z",
    "title_canon_sha256": "7dab907c2e66547f3fe1252475af8e932be357d797fa7f7864c0f32578877b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04078",
    "kind": "arxiv",
    "version": 1
  }
}