Pith Number

pith:CJT7YW2Z

pith:2016:CJT7YW2ZBO2YZQENXBFNL7WFQ6

not attested not anchored not stored refs pending

Direct and Central Products of Localities

Ellen Henke

arxiv:1609.04362 v1 · 2016-09-14 · 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{CJT7YW2ZBO2YZQENXBFNL7WFQ6}

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	2026-05-18T01:04:38.153599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1267fc5b590bb58cc08db84ad5fec58792ef0c81386e4b120eeba53d5bb24c79

Aliases

arxiv: 1609.04362 · arxiv_version: 1609.04362v1 · doi: 10.48550/arxiv.1609.04362 · pith_short_12: CJT7YW2ZBO2Y · pith_short_16: CJT7YW2ZBO2YZQEN · pith_short_8: CJT7YW2Z

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/CJT7YW2ZBO2YZQENXBFNL7WFQ6 \
  | 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: 1267fc5b590bb58cc08db84ad5fec58792ef0c81386e4b120eeba53d5bb24c79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "162869e9d387ac96eb564e7b70dad22568d0337c54ae7db5e11c21648d5be76b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-09-14T17:54:19Z",
    "title_canon_sha256": "42b866a4769ae25e81fad020c507e1553aaa5227d82b1d5b1ea15dc978878838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04362",
    "kind": "arxiv",
    "version": 1
  }
}