Pith Number

pith:GU4M5ITK

pith:1994:GU4M5ITKKS4CQA6PP7DJKKGZAA

not attested not anchored not stored refs pending

A User's Guide to the Mapping Class Group: Once Punctured Surfaces

Lee Mosher

arxiv:math/9409209 v1 · 1994-09-09 · 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{GU4M5ITKKS4CQA6PP7DJKKGZAA}

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	2026-05-18T01:05:51.131510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3538cea26a54b82803cf7fc69528d90037b9d97cee0043a8e85bc18cee747ebe

Aliases

arxiv: math/9409209 · arxiv_version: math/9409209v1 · doi: 10.48550/arxiv.math/9409209 · pith_short_12: GU4M5ITKKS4C · pith_short_16: GU4M5ITKKS4CQA6P · pith_short_8: GU4M5ITK

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/GU4M5ITKKS4CQA6PP7DJKKGZAA \
  | 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: 3538cea26a54b82803cf7fc69528d90037b9d97cee0043a8e85bc18cee747ebe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4aefa20110ee634870525702f3c9dce0907ab3b055e957aa08da45d31d9af34",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1994-09-09T00:00:00Z",
    "title_canon_sha256": "a297148ad8499067459cf2eac1d9a40c60a91464ab754e569b53cc34fc0c01dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9409209",
    "kind": "arxiv",
    "version": 1
  }
}