Pith Number

pith:7FBILPWR

pith:2016:7FBILPWRUF5AXF37JBZ3KEWPVR

not attested not anchored not stored refs pending

Minimal model program for excellent surfaces

Hiromu Tanaka

arxiv:1608.07676 v4 · 2016-08-27 · 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{7FBILPWRUF5AXF37JBZ3KEWPVR}

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	2026-05-18T00:25:34.845917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94285bed1a17a0b977f4873b512cfac79c83c1c1aaa56b7c98442d4c9055b51

Aliases

arxiv: 1608.07676 · arxiv_version: 1608.07676v4 · doi: 10.48550/arxiv.1608.07676 · pith_short_12: 7FBILPWRUF5A · pith_short_16: 7FBILPWRUF5AXF37 · pith_short_8: 7FBILPWR

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/7FBILPWRUF5AXF37JBZ3KEWPVR \
  | 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: f94285bed1a17a0b977f4873b512cfac79c83c1c1aaa56b7c98442d4c9055b51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cf49eefcee0a09fad5b23fb6419d801d26d84b2346886af77f6c91fd0c33c8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-27T07:49:01Z",
    "title_canon_sha256": "c63af0aee9579029e3a59893dae831c156a015d1de243b9ffcc063eb5f73d07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07676",
    "kind": "arxiv",
    "version": 4
  }
}