Pith Number

pith:DFJARFB5

pith:2006:DFJARFB57BXJYGUPEST52LGZ4V

not attested not anchored not stored refs pending

Geodesics and almost geodesic cycles in random regular graphs

Carlos Hoppen, Eran Ofek, Itai Benjamini, Nick Wormald, Pawel Pralat

arxiv:math/0610089 v1 · 2006-10-02 · math.MG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFJARFB57BXJYGUPEST52LGZ4V}

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	2026-07-04T14:57:05.959833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195208943df86e9c1a8f24a7dd2cd9e57182a1ea6f542df6cb3737fe1d265f29

Aliases

arxiv: math/0610089 · arxiv_version: math/0610089v1 · doi: 10.48550/arxiv.math/0610089 · pith_short_12: DFJARFB57BXJ · pith_short_16: DFJARFB57BXJYGUP · pith_short_8: DFJARFB5

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/DFJARFB57BXJYGUPEST52LGZ4V \
  | 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: 195208943df86e9c1a8f24a7dd2cd9e57182a1ea6f542df6cb3737fe1d265f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90733c449e3d53d4757fc408af13c0ec3cd7cf81e3f4819da76cbd2fceb480bd",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2006-10-02T20:07:35Z",
    "title_canon_sha256": "402ad9e2d58e4042ddc37b223f5faea9c026890353a9a2bb69322483e7e84ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610089",
    "kind": "arxiv",
    "version": 1
  }
}