Pith Number

pith:7QSLX3AR

pith:2001:7QSLX3ARXJ6ZLGUAXTOCZZ5FSL

not attested not anchored not stored refs pending

Topological classification of generic real rational functions

Alek Vainshtein, Boris Shapiro, Sergei Natanzon

arxiv:math/0110235 v1 · 2001-10-21 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7QSLX3ARXJ6ZLGUAXTOCZZ5FSL}

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	2026-05-18T01:14:29.908819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc24bbec11ba7d959a80bcdc2ce7a592c0de3acece6976ca0c7828bed75f6fc7

Aliases

arxiv: math/0110235 · arxiv_version: math/0110235v1 · doi: 10.48550/arxiv.math/0110235 · pith_short_12: 7QSLX3ARXJ6Z · pith_short_16: 7QSLX3ARXJ6ZLGUA · pith_short_8: 7QSLX3AR

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/7QSLX3ARXJ6ZLGUAXTOCZZ5FSL \
  | 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: fc24bbec11ba7d959a80bcdc2ce7a592c0de3acece6976ca0c7828bed75f6fc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3787e9d0bde13f60c1bbd3ddda2623d32df165e625ac1010c463890cd65cbda",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-10-21T11:12:04Z",
    "title_canon_sha256": "07482b5f946e79b3f774a9e602d3296c79eb767e20348b1542c07cf1968a3176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110235",
    "kind": "arxiv",
    "version": 1
  }
}