Pith Number

pith:3XI5K7WD

pith:2019:3XI5K7WDF5ZMM5EQCQIY4IKBW6

not attested not anchored not stored refs pending

Extension with log-canonical measures and an improvement to the plt extension of Demailly--Hacon--Paun

Tsz On Mario Chan, Young-Jun Choi

arxiv:1912.08076 v5 · 2019-12-16 · math.CV · 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{3XI5K7WDF5ZMM5EQCQIY4IKBW6}

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	2026-07-05T02:56:52.628718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddd1d57ec32f72c6749014118e2141b7a34f56c63146976dac5a2773618b1195

Aliases

arxiv: 1912.08076 · arxiv_version: 1912.08076v5 · doi: 10.48550/arxiv.1912.08076 · pith_short_12: 3XI5K7WDF5ZM · pith_short_16: 3XI5K7WDF5ZMM5EQ · pith_short_8: 3XI5K7WD

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/3XI5K7WDF5ZMM5EQCQIY4IKBW6 \
  | 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: ddd1d57ec32f72c6749014118e2141b7a34f56c63146976dac5a2773618b1195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77b83569a8a3a24c25e199c93eaf39de3056db3d84d7156855818cb612ff741",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2019-12-16T18:32:26Z",
    "title_canon_sha256": "c3b314bc16ac3ac461cdb133d8392f6f96c4aaedc07eb64fe8268cc498722e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.08076",
    "kind": "arxiv",
    "version": 5
  }
}