Pith Number

pith:3ICB6YV2

pith:2012:3ICB6YV2P6ZPSMZL4PMEVTDTQP

not attested not anchored not stored refs pending

An Algebraic Proof of Thurston's Rigidity for a Polynomial

Alon Levy

arxiv:1201.1969 v2 · 2012-01-10 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ICB6YV2P6ZPSMZL4PMEVTDTQP}

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	2026-05-18T03:39:41.814145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da041f62ba7fb2f9332be3d84acc7383c4084e7b6413c5f56a0243af72daa2ce

Aliases

arxiv: 1201.1969 · arxiv_version: 1201.1969v2 · doi: 10.48550/arxiv.1201.1969 · pith_short_12: 3ICB6YV2P6ZP · pith_short_16: 3ICB6YV2P6ZPSMZL · pith_short_8: 3ICB6YV2

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/3ICB6YV2P6ZPSMZL4PMEVTDTQP \
  | 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: da041f62ba7fb2f9332be3d84acc7383c4084e7b6413c5f56a0243af72daa2ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61bbf762edb4e56b3c557bd65cc315263b2eef230cabbb29b05789413230d716",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-10T05:58:45Z",
    "title_canon_sha256": "d38aa1a7013d02aed9221ca827e62d138f729be3ad9077dde3c31f0c548d1a3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1969",
    "kind": "arxiv",
    "version": 2
  }
}