Pith Number

pith:AA33ML6A

pith:2012:AA33ML6AQXMNF5SUVA3WF2KWNP

not attested not anchored not stored refs pending

The $\theta_5$-graph is a spanner

Andr\'e van Renssen, Pat Morin, Prosenjit Bose, Sander Verdonschot

arxiv:1212.0570 v2 · 2012-12-03 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AA33ML6AQXMNF5SUVA3WF2KWNP}

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	2026-05-18T01:33:49.433725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0037b62fc085d8d2f654a83762e9566bd7e816a5a31ebca63422494196e19070

Aliases

arxiv: 1212.0570 · arxiv_version: 1212.0570v2 · doi: 10.48550/arxiv.1212.0570 · pith_short_12: AA33ML6AQXMN · pith_short_16: AA33ML6AQXMNF5SU · pith_short_8: AA33ML6A

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/AA33ML6AQXMNF5SUVA3WF2KWNP \
  | 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: 0037b62fc085d8d2f654a83762e9566bd7e816a5a31ebca63422494196e19070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a69360330d82045d8d8bfc3f56a689505817098b4ddca9a422ee3007b34767b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-12-03T21:48:35Z",
    "title_canon_sha256": "ba3065adc992c29c0d92c7f0f9bd1b0a6cad55b85218b7bda8582690da8242c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0570",
    "kind": "arxiv",
    "version": 2
  }
}