Pith Number

pith:4X54JRCW

pith:2012:4X54JRCWVGZB26MWCZP4S4HMRO

not attested not anchored not stored refs pending

The projective translation equation and unramified 2-dimensional flows with rational vector fields

Giedrius Alkauskas

arxiv:1202.3958 v4 · 2012-02-17 · math.AG · math.AP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4X54JRCWVGZB26MWCZP4S4HMRO}

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	2026-05-18T01:37:51.557589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fbc4c456a9b21d7996165fc970ec8b8a8d77253c7d0d4238e502a37cbff27f

Aliases

arxiv: 1202.3958 · arxiv_version: 1202.3958v4 · doi: 10.48550/arxiv.1202.3958 · pith_short_12: 4X54JRCWVGZB · pith_short_16: 4X54JRCWVGZB26MW · pith_short_8: 4X54JRCW

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/4X54JRCWVGZB26MWCZP4S4HMRO \
  | 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: e5fbc4c456a9b21d7996165fc970ec8b8a8d77253c7d0d4238e502a37cbff27f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b4d1d89c64fd1dfe17f04d4371b416d0829d328cd706b790dad38e3641ccf0",
    "cross_cats_sorted": [
      "math.AP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-17T16:43:47Z",
    "title_canon_sha256": "6a24f4131d90a2d04742c980229f79d457729af65e07bc4a848c9c5861179131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3958",
    "kind": "arxiv",
    "version": 4
  }
}