Pith Number

pith:FIU6SKQC

pith:2005:FIU6SKQCRFU665NREERPZJIA7M

not attested not anchored not stored refs pending

Cohomological structure of the mapping class group and beyond

Shigeyuki Morita

arxiv:math/0507308 v1 · 2005-07-15 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIU6SKQCRFU665NREERPZJIA7M}

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.

Cited by

1 paper in Pith

One-dimensionality of certain cocycles for the detection of the Johnson cokernel

Receipt and verification

First computed	2026-07-04T14:40:14.535786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a29e92a028969ef75b12122fca500fb1f5b045de975f02a5f909cdf50a21368

Aliases

arxiv: math/0507308 · arxiv_version: math/0507308v1 · doi: 10.48550/arxiv.math/0507308 · pith_short_12: FIU6SKQCRFU6 · pith_short_16: FIU6SKQCRFU665NR · pith_short_8: FIU6SKQC

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/FIU6SKQCRFU665NREERPZJIA7M \
  | 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: 2a29e92a028969ef75b12122fca500fb1f5b045de975f02a5f909cdf50a21368

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc11f6b08fcf2c98cb97984ce436a33bccd2747514e5df91474b45d0a76306f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-07-15T06:28:44Z",
    "title_canon_sha256": "ef31417c6c4ffc8a937a7f4a5af59515df3507b08153fcb2e465afc5a67f0a02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507308",
    "kind": "arxiv",
    "version": 1
  }
}