Pith Number

pith:O5LH6BXV

pith:2010:O5LH6BXVKSDYIOJDNMAXRWFDLS

not attested not anchored not stored refs pending

Covering line graphs with equivalence relations

A. King, J. Gimbel, L. Esperet

arxiv:1006.3692 v1 · 2010-06-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5LH6BXVKSDYIOJDNMAXRWFDLS}

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	2026-05-18T04:28:45.606291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77567f06f554878439236b0178d8a35ca762424d08189de89cebb70f78e18262

Aliases

arxiv: 1006.3692 · arxiv_version: 1006.3692v1 · doi: 10.48550/arxiv.1006.3692 · pith_short_12: O5LH6BXVKSDY · pith_short_16: O5LH6BXVKSDYIOJD · pith_short_8: O5LH6BXV

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/O5LH6BXVKSDYIOJDNMAXRWFDLS \
  | 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: 77567f06f554878439236b0178d8a35ca762424d08189de89cebb70f78e18262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc61a700d7ff4dcf84a051ab603095751ed565dba67a8cfc5f6d6b3b1c6bce8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-18T13:38:56Z",
    "title_canon_sha256": "3520409aa57af4992227da55c26e5030ab1a9b7e4284b32e22fc9484f88adcd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3692",
    "kind": "arxiv",
    "version": 1
  }
}