Pith Number

pith:7V3VJ4LO

pith:2016:7V3VJ4LOGSNFSLCMAJTG2GCABC

not attested not anchored not stored refs pending

Enumerating cycles in the graph of overlapping permutations

John Asplund, N. Bradley Fox

arxiv:1609.02210 v1 · 2016-09-07 · 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{7V3VJ4LOGSNFSLCMAJTG2GCABC}

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	2026-05-18T01:04:55.163307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd7754f16e349a592c4c02666d1840088725e5c4e3534b7106926fcb4b8e1834

Aliases

arxiv: 1609.02210 · arxiv_version: 1609.02210v1 · doi: 10.48550/arxiv.1609.02210 · pith_short_12: 7V3VJ4LOGSNF · pith_short_16: 7V3VJ4LOGSNFSLCM · pith_short_8: 7V3VJ4LO

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/7V3VJ4LOGSNFSLCMAJTG2GCABC \
  | 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: fd7754f16e349a592c4c02666d1840088725e5c4e3534b7106926fcb4b8e1834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "504e0d104471ecb16c7f5da128ae7ae8cac1adfcd29afd1b016affa2412925ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-07T22:22:12Z",
    "title_canon_sha256": "bdaf61f992fec616cff8020b5192fb26fb3a442d2690412e52f9fde4a1add6c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02210",
    "kind": "arxiv",
    "version": 1
  }
}