Pith Number

pith:ADWFPG7S

pith:2012:ADWFPG7SYBIWQOZK46OLAMYTTD

not attested not anchored not stored refs pending

On degeneracy schemes of maps of vector bundles and applications to holomorphic foliations

Carolina Araujo, Maur\'icio Corr\^ea Jr

arxiv:1207.5009 v2 · 2012-07-20 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADWFPG7SYBIWQOZK46OLAMYTTD}

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	2026-05-18T00:03:34.733729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00ec579bf2c051683b2ae79cb0331398f06018caf316faf8868133ef23d8f45c

Aliases

arxiv: 1207.5009 · arxiv_version: 1207.5009v2 · doi: 10.48550/arxiv.1207.5009 · pith_short_12: ADWFPG7SYBIW · pith_short_16: ADWFPG7SYBIWQOZK · pith_short_8: ADWFPG7S

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/ADWFPG7SYBIWQOZK46OLAMYTTD \
  | 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: 00ec579bf2c051683b2ae79cb0331398f06018caf316faf8868133ef23d8f45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a9fbec004d29ba3aee7f3827366881e8429b1b073f4d0756ae4cca0b5be09c",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-20T18:04:47Z",
    "title_canon_sha256": "a88f9c6ba8b2e52c33dbaaf432370824f35f5156f79fbbdd3b29d663398d2e8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5009",
    "kind": "arxiv",
    "version": 2
  }
}