Pith Number

pith:36RGOSRI

pith:2007:36RGOSRISIMBYNWPHZRCIFFQVO

not attested not anchored not stored refs pending

Analytic classification of plane branches up to multiplicity 4

Abramo Hefez, Marcelo E. Hernandes

arxiv:0707.4525 v1 · 2007-07-31 · 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{36RGOSRISIMBYNWPHZRCIFFQVO}

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	2026-05-18T01:21:49.670060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa2674a2892181c36cf3e622414b0ab9d877f91ffa7f2f78e0f4c82594bfdff

Aliases

arxiv: 0707.4525 · arxiv_version: 0707.4525v1 · doi: 10.48550/arxiv.0707.4525 · pith_short_12: 36RGOSRISIMB · pith_short_16: 36RGOSRISIMBYNWP · pith_short_8: 36RGOSRI

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/36RGOSRISIMBYNWPHZRCIFFQVO \
  | 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: dfa2674a2892181c36cf3e622414b0ab9d877f91ffa7f2f78e0f4c82594bfdff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8805c81b845f02159a95707e29e364af39476fd15d62dc3ac012c9b7bd5c8045",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-31T02:45:21Z",
    "title_canon_sha256": "cdbf4ce7788a733d141a0340789ea92462406dc611ce85d4ef03b3f4a87e6ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4525",
    "kind": "arxiv",
    "version": 1
  }
}