Pith Number

pith:YBH2XATV

pith:2010:YBH2XATVWH6JN6ZZV7MBTH5RHH

not attested not anchored not stored refs pending

Commensurability of two-multitwist pseudo-Anosovs

Jeffrey D. Carlson

arxiv:1011.0247 v1 · 2010-11-01 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBH2XATVWH6JN6ZZV7MBTH5RHH}

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	2026-05-18T04:37:30.247384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c04fab8275b1fc96fb39afd8199fb139d2ca9f61c5875679420f70a1a6353f17

Aliases

arxiv: 1011.0247 · arxiv_version: 1011.0247v1 · doi: 10.48550/arxiv.1011.0247 · pith_short_12: YBH2XATVWH6J · pith_short_16: YBH2XATVWH6JN6ZZ · pith_short_8: YBH2XATV

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/YBH2XATVWH6JN6ZZV7MBTH5RHH \
  | 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: c04fab8275b1fc96fb39afd8199fb139d2ca9f61c5875679420f70a1a6353f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984c3c4d43588c0aedd1ad906c08dc28f600136a0a68c380a947fdf7ed6de70b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-01T04:25:37Z",
    "title_canon_sha256": "9a6a48ad305a2bcb0f2f927c8d3aabdfa92176f70785ced8e2a871b42322155e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0247",
    "kind": "arxiv",
    "version": 1
  }
}