Pith Number

pith:UP2L5X4J

pith:2015:UP2L5X4JTKX3U5KNKP4UBGQJRQ

not attested not anchored not stored refs pending

Special birational transformations of type (2,1)

Baohua Fu, Jun-Muk Hwang

arxiv:1501.04410 v2 · 2015-01-19 · 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{UP2L5X4JTKX3U5KNKP4UBGQJRQ}

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	2026-05-18T00:26:52.235830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f4bedf899aafba754d53f9409a098c127bca06b764328ee135dde3823d2bcb

Aliases

arxiv: 1501.04410 · arxiv_version: 1501.04410v2 · doi: 10.48550/arxiv.1501.04410 · pith_short_12: UP2L5X4JTKX3 · pith_short_16: UP2L5X4JTKX3U5KN · pith_short_8: UP2L5X4J

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/UP2L5X4JTKX3U5KNKP4UBGQJRQ \
  | 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: a3f4bedf899aafba754d53f9409a098c127bca06b764328ee135dde3823d2bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6fb5f3bb2b5b8de27fc1e555d563042fce146c3f1063d38a7f286dc07e2cb42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-19T07:11:04Z",
    "title_canon_sha256": "f635a9a45485f562f419df5ca4712718c93cdcc0cce689d2f406e690fcf218a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04410",
    "kind": "arxiv",
    "version": 2
  }
}