Pith Number

pith:P5NQXV4V

pith:2017:P5NQXV4VU7KCBCMLMMUZDUXUOL

not attested not anchored not stored refs pending

Strongly Cospectral Vertices

Chris Godsil, Jamie Smith

arxiv:1709.07975 v1 · 2017-09-23 · 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{P5NQXV4VU7KCBCMLMMUZDUXUOL}

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.

Cited by

1 paper in Pith

Fractional Revival and Association Schemes

Receipt and verification

First computed	2026-05-18T00:34:28.366476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f5b0bd795a7d420898b632991d2f472dc9d3ee05ffc224fcfc47ba7dfdd1728

Aliases

arxiv: 1709.07975 · arxiv_version: 1709.07975v1 · doi: 10.48550/arxiv.1709.07975 · pith_short_12: P5NQXV4VU7KC · pith_short_16: P5NQXV4VU7KCBCML · pith_short_8: P5NQXV4V

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/P5NQXV4VU7KCBCMLMMUZDUXUOL \
  | 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: 7f5b0bd795a7d420898b632991d2f472dc9d3ee05ffc224fcfc47ba7dfdd1728

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4634204bc3a134ae0ca4da17313ee434c3ad968f7e21869698a330800d6cf6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-23T00:10:30Z",
    "title_canon_sha256": "c252166ad1b282e19a51f3b8a1e16d5742d09c10c6078af823336485cf9ed93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07975",
    "kind": "arxiv",
    "version": 1
  }
}