Pith Number

pith:M4C4FCP5

pith:2013:M4C4FCP5XKMSENAIEGWYZAJ3FR

not attested not anchored not stored refs pending

Algorithms for group isomorphism via group extensions and cohomology

Joshua A. Grochow, Youming Qiao

arxiv:1309.1776 v2 · 2013-09-06 · cs.DS · cs.CC · 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{M4C4FCP5XKMSENAIEGWYZAJ3FR}

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	2026-05-18T00:46:43.444244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6705c289fdba9922340821ad8c813b2c631b76deeab83eae147d5bcb579a1318

Aliases

arxiv: 1309.1776 · arxiv_version: 1309.1776v2 · doi: 10.48550/arxiv.1309.1776 · pith_short_12: M4C4FCP5XKMS · pith_short_16: M4C4FCP5XKMSENAI · pith_short_8: M4C4FCP5

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/M4C4FCP5XKMSENAIEGWYZAJ3FR \
  | 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: 6705c289fdba9922340821ad8c813b2c631b76deeab83eae147d5bcb579a1318

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b789fd9a793342587e70f80827850581c73a77a2db44394bccf720086677e3f4",
    "cross_cats_sorted": [
      "cs.CC",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2013-09-06T20:52:49Z",
    "title_canon_sha256": "1c9d8de805e7ddf64906f6e8f776ae060c56f1b07fbe1b533fba77881569694c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1776",
    "kind": "arxiv",
    "version": 2
  }
}