Pith Number

pith:L77IJ5R5

pith:2016:L77IJ5R5R2QTWGTSMJAOAIWZJ6

not attested not anchored not stored refs pending

Terraces for Small Groups

M. A. Ollis

arxiv:1603.01496 v1 · 2016-03-04 · math.CO · 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{L77IJ5R5R2QTWGTSMJAOAIWZJ6}

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	2026-05-18T01:19:35.884592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ffe84f63d8ea13b1a726240e022d94f95d6900d5e8027407ec1999cdf6fae08

Aliases

arxiv: 1603.01496 · arxiv_version: 1603.01496v1 · doi: 10.48550/arxiv.1603.01496 · pith_short_12: L77IJ5R5R2QT · pith_short_16: L77IJ5R5R2QTWGTS · pith_short_8: L77IJ5R5

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/L77IJ5R5R2QTWGTSMJAOAIWZJ6 \
  | 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: 5ffe84f63d8ea13b1a726240e022d94f95d6900d5e8027407ec1999cdf6fae08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66cc8a250f30943b037243dfb15730cd16c6209f904a521ef83601ddc31fcb07",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-04T15:22:01Z",
    "title_canon_sha256": "19f80ef961e861cdc2820470e7e35149dd4ef636634efe87dbf6b2abd8bcbb01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01496",
    "kind": "arxiv",
    "version": 1
  }
}