Pith Number

pith:5ZB5L6UX

pith:2012:5ZB5L6UXCVALZ4OC4ENDJBLQIJ

not attested not anchored not stored refs pending

A Combinatorial Proof of the Kontsevich-Zorich-Boissy Classification of Rauzy Classes

Jon Fickenscher

arxiv:1212.6742 v2 · 2012-12-30 · 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{5ZB5L6UXCVALZ4OC4ENDJBLQIJ}

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	2026-05-18T02:41:24.955305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee43d5fa971540bcf1c2e11a348570427d65b19b3e59145c2fa4b90ad8627c01

Aliases

arxiv: 1212.6742 · arxiv_version: 1212.6742v2 · doi: 10.48550/arxiv.1212.6742 · pith_short_12: 5ZB5L6UXCVAL · pith_short_16: 5ZB5L6UXCVALZ4OC · pith_short_8: 5ZB5L6UX

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/5ZB5L6UXCVALZ4OC4ENDJBLQIJ \
  | 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: ee43d5fa971540bcf1c2e11a348570427d65b19b3e59145c2fa4b90ad8627c01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a9d7517e341c630b25d5a4375aece5cb4d50c6e7a767a0a0d6a45f3de4c8754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-30T16:35:59Z",
    "title_canon_sha256": "89a27ef507443740f5cae667578a2f2d4aa36dfdda1bf0a48010538ce56165fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6742",
    "kind": "arxiv",
    "version": 2
  }
}