Pith Number

pith:ITPCE3AA

pith:2011:ITPCE3AACTEDN7QAEYE7HRKQH2

not attested not anchored not stored refs pending

Aperiodicity Conditions in Topological $k$-Graphs

Sarah Wright

arxiv:1110.4026 v2 · 2011-10-18 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITPCE3AACTEDN7QAEYE7HRKQH2}

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	2026-05-18T03:43:07.558825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44de226c0014c836fe002609f3c5503e9f328813ed42d0b5e94026a230f6fb29

Aliases

arxiv: 1110.4026 · arxiv_version: 1110.4026v2 · doi: 10.48550/arxiv.1110.4026 · pith_short_12: ITPCE3AACTED · pith_short_16: ITPCE3AACTEDN7QA · pith_short_8: ITPCE3AA

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/ITPCE3AACTEDN7QAEYE7HRKQH2 \
  | 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: 44de226c0014c836fe002609f3c5503e9f328813ed42d0b5e94026a230f6fb29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56146d09b991bb0bb72cebe06564a4926d361ed4fc982fa9ef60f1b8a16bed46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-18T15:39:05Z",
    "title_canon_sha256": "b7a47b5cb9bb83a06f2f935d53ae70d048ef5911e73c4f8bb718f949ff4ad00f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4026",
    "kind": "arxiv",
    "version": 2
  }
}