Pith Number

pith:WX3ZPH47

pith:2011:WX3ZPH4776GA5LC4STFUMHXWY6

not attested not anchored not stored refs pending

On the density of nearly regular graphs with a good edge-labelling

Abbas Mehrabian

arxiv:1110.2391 v1 · 2011-10-11 · 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{WX3ZPH4776GA5LC4STFUMHXWY6}

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	2026-05-18T03:41:02.533839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f7979f9fff8c0eac5c94cb461ef6c78f702768d345dda6cfa2282d3590e4b0

Aliases

arxiv: 1110.2391 · arxiv_version: 1110.2391v1 · doi: 10.48550/arxiv.1110.2391 · pith_short_12: WX3ZPH4776GA · pith_short_16: WX3ZPH4776GA5LC4 · pith_short_8: WX3ZPH47

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/WX3ZPH4776GA5LC4STFUMHXWY6 \
  | 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: b5f7979f9fff8c0eac5c94cb461ef6c78f702768d345dda6cfa2282d3590e4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d00af116b68af3bc6e0b4aff2e2a4a56d49c63dcc6773eae0d9dfd6acc5aaae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-11T14:45:47Z",
    "title_canon_sha256": "0bf815b760b0c280099ea66f01bd9d4fa98a4ccba9562346dc9297aa72151c04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2391",
    "kind": "arxiv",
    "version": 1
  }
}