Pith Number

pith:JMQTMUDG

pith:2005:JMQTMUDG5ZGKLCXFES7DEOVQRH

not attested not anchored not stored refs pending

Surfaces in the complex projective plane and their mapping class groups

Susumu Hirose

arxiv:math/0507078 v1 · 2005-07-04 · 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{JMQTMUDG5ZGKLCXFES7DEOVQRH}

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	2026-05-18T02:41:32.024867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b21365066ee4ca58ae524be323ab089cd71e7fcf8b1f3ef1cf51a8ec29ceb33

Aliases

arxiv: math/0507078 · arxiv_version: math/0507078v1 · doi: 10.48550/arxiv.math/0507078 · pith_short_12: JMQTMUDG5ZGK · pith_short_16: JMQTMUDG5ZGKLCXF · pith_short_8: JMQTMUDG

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/JMQTMUDG5ZGKLCXFES7DEOVQRH \
  | 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: 4b21365066ee4ca58ae524be323ab089cd71e7fcf8b1f3ef1cf51a8ec29ceb33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25ad99341430a0f0d4f60c9174e15f38007325d80e3c76c3fad949a33f4356a5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-07-04T18:38:06Z",
    "title_canon_sha256": "f0f991e008ad68533358cf20c409fd350c52cbb9d91192a0ab9fd652adc4b3f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507078",
    "kind": "arxiv",
    "version": 1
  }
}