Pith Number

pith:62C2BLQM

pith:2013:62C2BLQMGG6U2QKRAGOB7SRW3F

not attested not anchored not stored refs pending

Circular-arc hypergraphs: Rigidity via Connectedness

Johannes K\"obler, Oleg Verbitsky, Sebastian Kuhnert

arxiv:1312.1172 v1 · 2013-12-04 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62C2BLQMGG6U2QKRAGOB7SRW3F}

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	2026-05-18T03:05:34.777384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f685a0ae0c31bd4d4151019c1fca36d94ddb54c6f9675b6a6b925c766081b44c

Aliases

arxiv: 1312.1172 · arxiv_version: 1312.1172v1 · doi: 10.48550/arxiv.1312.1172 · pith_short_12: 62C2BLQMGG6U · pith_short_16: 62C2BLQMGG6U2QKR · pith_short_8: 62C2BLQM

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/62C2BLQMGG6U2QKRAGOB7SRW3F \
  | 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: f685a0ae0c31bd4d4151019c1fca36d94ddb54c6f9675b6a6b925c766081b44c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16840214c7ceca80ebac9eeaf4852f0d84a270d9c71ed31aab578f2db6e1a9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-12-04T14:19:07Z",
    "title_canon_sha256": "32762d4971eb55c4106d32e8cd32a68a19eb5b909bdbfc9e5832e28210cda048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1172",
    "kind": "arxiv",
    "version": 1
  }
}