Pith Number

pith:YUOB5JTZ

pith:2013:YUOB5JTZE2HTB36P5ABS6OZWSZ

not attested not anchored not stored refs pending

Birational maps of 3-folds

Jungkai Alfred Chen

arxiv:1304.5949 v1 · 2013-04-22 · 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{YUOB5JTZE2HTB36P5ABS6OZWSZ}

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	2026-05-18T03:27:23.686710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c51c1ea679268f30efcfe8032f3b36964de83ec5a651470a3b21d265cb314731

Aliases

arxiv: 1304.5949 · arxiv_version: 1304.5949v1 · doi: 10.48550/arxiv.1304.5949 · pith_short_12: YUOB5JTZE2HT · pith_short_16: YUOB5JTZE2HTB36P · pith_short_8: YUOB5JTZ

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/YUOB5JTZE2HTB36P5ABS6OZWSZ \
  | 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: c51c1ea679268f30efcfe8032f3b36964de83ec5a651470a3b21d265cb314731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba31c0a65f3636c32d6f7ea5212e4212e476a2de8546449889c5ea153663de58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-22T13:49:26Z",
    "title_canon_sha256": "79eb33c2231f7bc1c213219ca8920acd4b01b05412770acf0fc3d994868c8856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5949",
    "kind": "arxiv",
    "version": 1
  }
}