Pith Number

pith:VTWE5FCD

pith:2009:VTWE5FCDNYJ3AWEARPD22I5CUX

not attested not anchored not stored refs pending

Homotopy bases and finite derivation type for subgroups of monoids

Ant\'onio Malheiro, Robert Gray

arxiv:0912.1284 v2 · 2009-12-07 · 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{VTWE5FCDNYJ3AWEARPD22I5CUX}

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	2026-05-18T02:50:24.650605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acec4e94436e13b058808bc7ad23a2a5c638c85d367b7de34e117b39ec0de4ce

Aliases

arxiv: 0912.1284 · arxiv_version: 0912.1284v2 · doi: 10.48550/arxiv.0912.1284 · pith_short_12: VTWE5FCDNYJ3 · pith_short_16: VTWE5FCDNYJ3AWEA · pith_short_8: VTWE5FCD

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/VTWE5FCDNYJ3AWEARPD22I5CUX \
  | 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: acec4e94436e13b058808bc7ad23a2a5c638c85d367b7de34e117b39ec0de4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1eff4cd8c8179e36b5f75f5f34d535a0d729ef02d9d4e453aa1a9facfecfb93c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-12-07T16:04:33Z",
    "title_canon_sha256": "df11f8f5db2aad60cb928f01ca1a91b6436e16531c473c96b52de1823787429a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1284",
    "kind": "arxiv",
    "version": 2
  }
}