Pith Number

pith:EVXSWFA3

pith:2007:EVXSWFA3BXUKP5KJA2FNTUYLD2

not attested not anchored not stored refs pending

On perfect, amicable, and sociable chains

Jean-Luc Marichal

arxiv:0708.1491 v1 · 2007-08-10 · math.CO · cs.DM · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVXSWFA3BXUKP5KJA2FNTUYLD2}

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	2026-05-18T04:35:47.062924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256f2b141b0de8a7f549068ad9d30b1e8edef364b59f8aaffd8242e1bce8b070

Aliases

arxiv: 0708.1491 · arxiv_version: 0708.1491v1 · doi: 10.48550/arxiv.0708.1491 · pith_short_12: EVXSWFA3BXUK · pith_short_16: EVXSWFA3BXUKP5KJ · pith_short_8: EVXSWFA3

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/EVXSWFA3BXUKP5KJA2FNTUYLD2 \
  | 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: 256f2b141b0de8a7f549068ad9d30b1e8edef364b59f8aaffd8242e1bce8b070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f924d92eb7eaf7750de36a472884e0736563c0a55972ec743b1d6c033059dcf4",
    "cross_cats_sorted": [
      "cs.DM",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-08-10T17:45:38Z",
    "title_canon_sha256": "446a33217e88116b154b25a074cff12c0f8a36a86ae40a6a047cd8937207b013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1491",
    "kind": "arxiv",
    "version": 1
  }
}