Pith Number

pith:XFCKTP7J

pith:2007:XFCKTP7JT6XAS7YI3CRHNYGGM3

not attested not anchored not stored refs pending

The Analytic Classification of Plane Branches

Abramo Hefez, Marcelo E. Hernandes

arxiv:0707.4502 v1 · 2007-07-30 · 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{XFCKTP7JT6XAS7YI3CRHNYGGM3}

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	2026-05-18T02:58:12.486496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b944a9bfe99fae097f08d8a276e0c666faa5ceca294a2692b8fb15337b79a8fd

Aliases

arxiv: 0707.4502 · arxiv_version: 0707.4502v1 · doi: 10.48550/arxiv.0707.4502 · pith_short_12: XFCKTP7JT6XA · pith_short_16: XFCKTP7JT6XAS7YI · pith_short_8: XFCKTP7J

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/XFCKTP7JT6XAS7YI3CRHNYGGM3 \
  | 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: b944a9bfe99fae097f08d8a276e0c666faa5ceca294a2692b8fb15337b79a8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e1c53da5e128f87cd5d511ee860aa455ef2ea34a4c3688e903f84fa87367b4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-30T23:13:01Z",
    "title_canon_sha256": "d60b2bcaa0dffee2dc022c8211d1266f6d48474cf9c8b527efd6ae60e4974130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4502",
    "kind": "arxiv",
    "version": 1
  }
}