Pith Number

pith:REKDMTYG

pith:2014:REKDMTYG64PIOMTEVSCX3ZZMQ7

not attested not anchored not stored refs pending

Finite presentations of centrally extended mapping class groups

Takefumi Nosaka

arxiv:1408.4068 v3 · 2014-08-18 · 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{REKDMTYG64PIOMTEVSCX3ZZMQ7}

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	2026-05-18T00:12:01.241252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8914364f06f71e873264ac857de72c87e90590ee93eae588e94b133fcd0b4d4f

Aliases

arxiv: 1408.4068 · arxiv_version: 1408.4068v3 · doi: 10.48550/arxiv.1408.4068 · pith_short_12: REKDMTYG64PI · pith_short_16: REKDMTYG64PIOMTE · pith_short_8: REKDMTYG

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/REKDMTYG64PIOMTEVSCX3ZZMQ7 \
  | 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: 8914364f06f71e873264ac857de72c87e90590ee93eae588e94b133fcd0b4d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2ea56b9377933617761084e8f25e5b90260abbe4fcdc69e61d05ead557f59f7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-08-18T17:27:13Z",
    "title_canon_sha256": "8ad1bed968102c9d7f03747c33593a5ad639e9f2c15bd6ed1c3338b9db37ad2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4068",
    "kind": "arxiv",
    "version": 3
  }
}