Pith Number

pith:IFBFSZIE

pith:2015:IFBFSZIECEPYHTU3IOX4VZMBPL

not attested not anchored not stored refs pending

Uniform Mixing on Cayley Graphs

Chris Godsil, Hanmeng Zhan

arxiv:1504.00721 v3 · 2015-04-03 · 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{IFBFSZIECEPYHTU3IOX4VZMBPL}

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	2026-05-18T00:40:35.140116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4142596504111f83ce9b43afcae5817ac12f180be9b788989e4981e548f9ae0e

Aliases

arxiv: 1504.00721 · arxiv_version: 1504.00721v3 · doi: 10.48550/arxiv.1504.00721 · pith_short_12: IFBFSZIECEPY · pith_short_16: IFBFSZIECEPYHTU3 · pith_short_8: IFBFSZIE

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/IFBFSZIECEPYHTU3IOX4VZMBPL \
  | 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: 4142596504111f83ce9b43afcae5817ac12f180be9b788989e4981e548f9ae0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ea5a6acdbf2d6935511aadc89ad24286491054df9abc887422c03042fb78b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-03T01:02:33Z",
    "title_canon_sha256": "d534bca741ede2bbc07b41752744767cf7b99abdc9f961c3001d32e3ccbb5007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00721",
    "kind": "arxiv",
    "version": 3
  }
}