Pith Number

pith:D63KVIX3

pith:2015:D63KVIX3V5MNVUAQQZLWNNP6UG

not attested not anchored not stored refs pending

Homology and closure properties of autostackable groups

Ashley Johnson, Mark Brittenham, Susan Hermiller

arxiv:1506.00071 v1 · 2015-05-30 · math.GR · cs.FL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D63KVIX3V5MNVUAQQZLWNNP6UG}

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	2026-05-18T01:59:55.553754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fb6aaa2fbaf58dad010865766b5fea194c738ca397a825455d480229f843c64

Aliases

arxiv: 1506.00071 · arxiv_version: 1506.00071v1 · doi: 10.48550/arxiv.1506.00071 · pith_short_12: D63KVIX3V5MN · pith_short_16: D63KVIX3V5MNVUAQ · pith_short_8: D63KVIX3

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/D63KVIX3V5MNVUAQQZLWNNP6UG \
  | 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: 1fb6aaa2fbaf58dad010865766b5fea194c738ca397a825455d480229f843c64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f1d15a17b90294069ddbfc4215399a4ac122a3f6fa3f7cab866164b6e2af680",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-05-30T04:43:06Z",
    "title_canon_sha256": "30054e3c7ab8d457be3ac1336ede099bcf277de4f47de0813b77a89403a0990b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.00071",
    "kind": "arxiv",
    "version": 1
  }
}