Pith Number

pith:67RIELWZ

pith:2009:67RIELWZT7GE6QL4DRK4EMSHWW

not attested not anchored not stored refs pending

On the inverse mapping class monoids

R. Karoui, V. V. Vershinin

arxiv:0902.1178 v1 · 2009-02-06 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67RIELWZT7GE6QL4DRK4EMSHWW}

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	2026-05-18T04:02:12.281044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7e2822ed99fcc4f417c1c55c23247b5a89b5dc3a7f555c2bfdb3b206f781a6b

Aliases

arxiv: 0902.1178 · arxiv_version: 0902.1178v1 · doi: 10.48550/arxiv.0902.1178 · pith_short_12: 67RIELWZT7GE · pith_short_16: 67RIELWZT7GE6QL4 · pith_short_8: 67RIELWZ

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/67RIELWZT7GE6QL4DRK4EMSHWW \
  | 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: f7e2822ed99fcc4f417c1c55c23247b5a89b5dc3a7f555c2bfdb3b206f781a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a2fc2917006aac81d3b24861b065e4a665f62263cf7d1c79601623a4dd5f4f1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-02-06T21:02:28Z",
    "title_canon_sha256": "408b389907df3c88b3f4c5940c5b94df85688b1f14ff5db0e05eba35741bf12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1178",
    "kind": "arxiv",
    "version": 1
  }
}