Pith Number

pith:MWYSZ7QL

pith:2010:MWYSZ7QLUNMNERUIP74PYDXUDW

not attested not anchored not stored refs pending

Elementary construction of some Jenkins-Strebel differentials

Andrei Bogatyrev

arxiv:1012.4585 v1 · 2010-12-21 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWYSZ7QLUNMNERUIP74PYDXUDW}

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	2026-05-18T03:05:55.275080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65b12cfe0ba358d246887ff8fc0ef41d892972bc87b6b023db32e3739eed9290

Aliases

arxiv: 1012.4585 · arxiv_version: 1012.4585v1 · doi: 10.48550/arxiv.1012.4585 · pith_short_12: MWYSZ7QLUNMN · pith_short_16: MWYSZ7QLUNMNERUI · pith_short_8: MWYSZ7QL

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/MWYSZ7QLUNMNERUIP74PYDXUDW \
  | 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: 65b12cfe0ba358d246887ff8fc0ef41d892972bc87b6b023db32e3739eed9290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c36940d30af03c6ee55361ffd64cb6e4a4249c47036fd496ab7f6c0a6727a22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-21T09:56:23Z",
    "title_canon_sha256": "d086d6211e0d743627afe81a3b4495ef02faf93cac19540c3c44a4dee64e4458"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4585",
    "kind": "arxiv",
    "version": 1
  }
}