Pith Number

pith:O7DQ4LYW

pith:2020:O7DQ4LYWE3X55OB5JOEND3MBGP

not attested not anchored not stored refs pending

Invariable generation and the Houghton groups

Charles Garnet Cox

arxiv:2007.01626 v1 · 2020-07-03 · 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{O7DQ4LYWE3X55OB5JOEND3MBGP}

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

A MARL-based Approach for Easing MAS Organization Engineering

Receipt and verification

First computed	2026-07-05T01:16:03.363328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c70e2f1626efdeb83d4b88d1ed8133c449daa8cbdccf088e112f2e9558e3f4

Aliases

arxiv: 2007.01626 · arxiv_version: 2007.01626v1 · doi: 10.48550/arxiv.2007.01626 · pith_short_12: O7DQ4LYWE3X5 · pith_short_16: O7DQ4LYWE3X55OB5 · pith_short_8: O7DQ4LYW

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/O7DQ4LYWE3X55OB5JOEND3MBGP \
  | 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: 77c70e2f1626efdeb83d4b88d1ed8133c449daa8cbdccf088e112f2e9558e3f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e7c07d1d05a6dc9777f8d78970cb98cc8b774145d4ff05bd427aa60f427e77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2020-07-03T11:42:18Z",
    "title_canon_sha256": "ceffb29bf0197bdb474fbb967a4b83dc725ac8ec85fb1b9a23a977830a26a4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.01626",
    "kind": "arxiv",
    "version": 1
  }
}