Pith Number

pith:T57JUFKQ

pith:2014:T57JUFKQCPQ25H65RVGQM5EWTN

not attested not anchored not stored refs pending

Complete Algebraic Vector Fields on Danielewski Surfaces

Matthias Leuenberger

arxiv:1411.6493 v2 · 2014-11-24 · 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{T57JUFKQCPQ25H65RVGQM5EWTN}

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	2026-05-18T01:44:11.658607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f7e9a155013e1ae9fdd8d4d0674969b481bed2ccea3c23e593113762aeda169

Aliases

arxiv: 1411.6493 · arxiv_version: 1411.6493v2 · doi: 10.48550/arxiv.1411.6493 · pith_short_12: T57JUFKQCPQ2 · pith_short_16: T57JUFKQCPQ25H65 · pith_short_8: T57JUFKQ

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/T57JUFKQCPQ25H65RVGQM5EWTN \
  | 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: 9f7e9a155013e1ae9fdd8d4d0674969b481bed2ccea3c23e593113762aeda169

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba00de3047d4f3d873192f7863553d0f5a6a310e27c312b975b7adb22cb946e2",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-11-24T15:44:01Z",
    "title_canon_sha256": "4beb917901a8840092c63faebe411d465514c10a9a0f5cf840da66e90617b7e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6493",
    "kind": "arxiv",
    "version": 2
  }
}