Pith Number

pith:SSX3VIMO

pith:2016:SSX3VIMOJ7P44HP24IJL3GUNGE

not attested not anchored not stored refs pending

Threefold extremal contractions of type (IIA), I

Shigefumi Mori, Yuri Prokhorov

arxiv:1601.07671 v2 · 2016-01-28 · 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{SSX3VIMOJ7P44HP24IJL3GUNGE}

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	2026-05-18T00:38:04.553086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94afbaa18e4fdfce1dfae212bd9a8d313627403c56b4e1d8779a78db88576e90

Aliases

arxiv: 1601.07671 · arxiv_version: 1601.07671v2 · doi: 10.48550/arxiv.1601.07671 · pith_short_12: SSX3VIMOJ7P4 · pith_short_16: SSX3VIMOJ7P44HP2 · pith_short_8: SSX3VIMO

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/SSX3VIMOJ7P44HP24IJL3GUNGE \
  | 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: 94afbaa18e4fdfce1dfae212bd9a8d313627403c56b4e1d8779a78db88576e90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6dd2032e849ab0273868ae56582e75b7037f68c662cd137a08b23b906faa837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-28T07:19:26Z",
    "title_canon_sha256": "5999da24acd98d38ecf691e35594e6f1e4835cd85364284c54fc6c991051df8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07671",
    "kind": "arxiv",
    "version": 2
  }
}