Pith Number

pith:C73GUB4S

pith:2012:C73GUB4SAQKOEREDUI3VOHJMAE

not attested not anchored not stored refs pending

Degree-doubling graph families

Irene Muzi, J\'anos K\"orner

arxiv:1208.1963 v1 · 2012-08-09 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C73GUB4SAQKOEREDUI3VOHJMAE}

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	2026-05-18T03:49:09.590756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f66a07920414e24483a237571d2c010c6834dc8ba833610e88b882eb83a160

Aliases

arxiv: 1208.1963 · arxiv_version: 1208.1963v1 · doi: 10.48550/arxiv.1208.1963 · pith_short_12: C73GUB4SAQKO · pith_short_16: C73GUB4SAQKOERED · pith_short_8: C73GUB4S

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/C73GUB4SAQKOEREDUI3VOHJMAE \
  | 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: 17f66a07920414e24483a237571d2c010c6834dc8ba833610e88b882eb83a160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0623676833ba3255f28e69f82d16479d4b4217cf2938a51b74d3a2f12bb7fd35",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-09T16:13:09Z",
    "title_canon_sha256": "1936232324161e1988e0b6b5626f96ca4cde4051a314c6d40259367b198f584a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1963",
    "kind": "arxiv",
    "version": 1
  }
}