Pith Number

pith:Q4FLJ5JR

pith:2017:Q4FLJ5JRF5KHC7BDXZUI5KB42R

not attested not anchored not stored refs pending

From cycles to circles in Cayley graphs

Babak Miraftab, Tim R\"uhmann

arxiv:1708.03476 v1 · 2017-08-11 · 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{Q4FLJ5JRF5KHC7BDXZUI5KB42R}

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	2026-05-18T00:38:13.024930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870ab4f5312f54717c23be688ea83cd461d07c30ec3d5572949a2ea0df1becb4

Aliases

arxiv: 1708.03476 · arxiv_version: 1708.03476v1 · doi: 10.48550/arxiv.1708.03476 · pith_short_12: Q4FLJ5JRF5KH · pith_short_16: Q4FLJ5JRF5KHC7BD · pith_short_8: Q4FLJ5JR

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/Q4FLJ5JRF5KHC7BDXZUI5KB42R \
  | 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: 870ab4f5312f54717c23be688ea83cd461d07c30ec3d5572949a2ea0df1becb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3a77a452aa98682d91c466e4f17c0cd962463932517b88d291f94492325a694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-11T08:56:30Z",
    "title_canon_sha256": "24d1d028c2fe79abb2a2c893a8599639f8b04dd5c083f3fb62eaaad81578f4ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03476",
    "kind": "arxiv",
    "version": 1
  }
}