Pith Number

pith:VHMW6NZQ

pith:2011:VHMW6NZQD7SOI6EQL2URUMJS5Y

not attested not anchored not stored refs pending

Moduli via double pants decompositions

Anna Felikson, Sergey Natanzon

arxiv:1102.4861 v1 · 2011-02-23 · math.GT · 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{VHMW6NZQD7SOI6EQL2URUMJS5Y}

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	2026-05-18T04:27:58.574638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d96f37301fe4e478905ea91a3132ee10b3769b82b84646adcf03611048f592

Aliases

arxiv: 1102.4861 · arxiv_version: 1102.4861v1 · doi: 10.48550/arxiv.1102.4861 · pith_short_12: VHMW6NZQD7SO · pith_short_16: VHMW6NZQD7SOI6EQ · pith_short_8: VHMW6NZQ

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/VHMW6NZQD7SOI6EQL2URUMJS5Y \
  | 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: a9d96f37301fe4e478905ea91a3132ee10b3769b82b84646adcf03611048f592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7453f7a1c28e50c05ade43db16dfffcfdf30bb29d16da86e977d5fbe9ee42578",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-23T21:29:44Z",
    "title_canon_sha256": "cbcf22851ea7dc6d55c37da94b77fbb91dc02586a7371f7c498198f454c8c874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4861",
    "kind": "arxiv",
    "version": 1
  }
}