Pith Number

pith:ITAKSJWZ

pith:2014:ITAKSJWZ33OLKTUZ3AQT3D6WGL

not attested not anchored not stored refs pending

Graphs with many valencies and few eigenvalues

Edwin R. van Dam, Jack H. Koolen, Zheng-Jiang Xia

arxiv:1405.3383 v2 · 2014-05-14 · 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{ITAKSJWZ33OLKTUZ3AQT3D6WGL}

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	2026-05-18T02:16:41.278778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44c0a926d9dedcb54e99d8213d8fd632c725a540b761ab65ad6b1cf4f820a0bd

Aliases

arxiv: 1405.3383 · arxiv_version: 1405.3383v2 · doi: 10.48550/arxiv.1405.3383 · pith_short_12: ITAKSJWZ33OL · pith_short_16: ITAKSJWZ33OLKTUZ · pith_short_8: ITAKSJWZ

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/ITAKSJWZ33OLKTUZ3AQT3D6WGL \
  | 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: 44c0a926d9dedcb54e99d8213d8fd632c725a540b761ab65ad6b1cf4f820a0bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb430f6842edcf388b29c77ecb85ff6a18e4c2b909a2e9b525934a1df1e1a67b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-14T07:09:18Z",
    "title_canon_sha256": "ebda026683028b5cf659efc3b8e6eaafcc4dfd372f5caf9c95c032956b94fa2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3383",
    "kind": "arxiv",
    "version": 2
  }
}