Pith Number

pith:WZZFZKV6

pith:2013:WZZFZKV654SVAJMQQSMFRGMWCH

not attested not anchored not stored refs pending

On the Average Number of Edges in Theta Graphs

Pat Morin, Sander Verdonschot

arxiv:1304.3402 v1 · 2013-04-11 · cs.CG · 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{WZZFZKV654SVAJMQQSMFRGMWCH}

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	2026-05-18T03:28:17.863249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6725caabeef25502590849858999611e62ab962574a8343edeec42210e9f334

Aliases

arxiv: 1304.3402 · arxiv_version: 1304.3402v1 · doi: 10.48550/arxiv.1304.3402 · pith_short_12: WZZFZKV654SV · pith_short_16: WZZFZKV654SVAJMQ · pith_short_8: WZZFZKV6

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/WZZFZKV654SVAJMQQSMFRGMWCH \
  | 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: b6725caabeef25502590849858999611e62ab962574a8343edeec42210e9f334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd21fe420333a219a5237f329d763ac8710f6f5379cfe837004065c2b7de9c3b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-04-11T19:21:51Z",
    "title_canon_sha256": "e45d0fcadba31adabc755e3013736e037b99fecd9a1a6bdf78a4600db9d9ac41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3402",
    "kind": "arxiv",
    "version": 1
  }
}