Pith Number

pith:J2FXIUVV

pith:2016:J2FXIUVVSWBHJLDQU5KGGHJCCB

not attested not anchored not stored refs pending

Open surfaces of small volume

Valery Alexeev, Wenfei Liu

arxiv:1612.09116 v2 · 2016-12-29 · 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{J2FXIUVVSWBHJLDQU5KGGHJCCB}

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	2026-05-18T00:51:41.262627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8b7452b5958274ac70a754631d221067e4c2139574a841d4e4cbf2e735f904

Aliases

arxiv: 1612.09116 · arxiv_version: 1612.09116v2 · doi: 10.48550/arxiv.1612.09116 · pith_short_12: J2FXIUVVSWBH · pith_short_16: J2FXIUVVSWBHJLDQ · pith_short_8: J2FXIUVV

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/J2FXIUVVSWBHJLDQU5KGGHJCCB \
  | 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: 4e8b7452b5958274ac70a754631d221067e4c2139574a841d4e4cbf2e735f904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf109a93b3ffe4a797cc9e77ad1a486addb648ee0e409af2f0b7b40cc67cc516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-29T12:12:55Z",
    "title_canon_sha256": "b50ec839a02284d8bc748c4e6c20186566d27adc5fa627e52893a90f21b7f19a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09116",
    "kind": "arxiv",
    "version": 2
  }
}