Pith Number

pith:M5NRHWF5

pith:2015:M5NRHWF5BUKOPC74NI7K4WNZNO

not attested not anchored not stored refs pending

Geometric intersection in representations of mapping class groups of surfaces

Yasushi Kasahara

arxiv:1504.03052 v4 · 2015-04-13 · math.GT · 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{M5NRHWF5BUKOPC74NI7K4WNZNO}

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	2026-05-18T00:55:25.777548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

675b13d8bd0d14e78bfc6a3eae59b96bb48e501db28be56068f11c5e07df5cef

Aliases

arxiv: 1504.03052 · arxiv_version: 1504.03052v4 · doi: 10.48550/arxiv.1504.03052 · pith_short_12: M5NRHWF5BUKO · pith_short_16: M5NRHWF5BUKOPC74 · pith_short_8: M5NRHWF5

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/M5NRHWF5BUKOPC74NI7K4WNZNO \
  | 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: 675b13d8bd0d14e78bfc6a3eae59b96bb48e501db28be56068f11c5e07df5cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb6d71e59fe6ba72f3fe082675f28935f14b08c759ecaf66f6797a30c12aef0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-13T02:56:20Z",
    "title_canon_sha256": "ae8da8d4ecabd729ec6f7de70c04dcab7309bed30f49032d1929f963366d701f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03052",
    "kind": "arxiv",
    "version": 4
  }
}