Pith Number

pith:BOPSEG5V

pith:2005:BOPSEG5V6O6OL4ZGKI6NGHFHQB

not attested not anchored not stored refs pending

A note on Erd\H{o}s-Diophantine graphs and Diophantine carpets

Axel Kohnert, Sascha Kurz

arxiv:math/0511705 v1 · 2005-11-29 · 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{BOPSEG5V6O6OL4ZGKI6NGHFHQB}

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	2026-07-04T14:51:45.471875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b9f221bb5f3bce5f326523cd31ca780430249cb4b9f7a1f194c6b6fb6c37f7e

Aliases

arxiv: math/0511705 · arxiv_version: math/0511705v1 · doi: 10.48550/arxiv.math/0511705 · pith_short_12: BOPSEG5V6O6O · pith_short_16: BOPSEG5V6O6OL4ZG · pith_short_8: BOPSEG5V

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/BOPSEG5V6O6OL4ZGKI6NGHFHQB \
  | 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: 0b9f221bb5f3bce5f326523cd31ca780430249cb4b9f7a1f194c6b6fb6c37f7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607b6078cf7c9da8e577d28cb2d3fc80a58987ca10efa1a2a98c284c192eb25d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-11-29T14:21:51Z",
    "title_canon_sha256": "75bb75369fc710d4f8579890873286ffeedcfe058904dacfc7bef6d644179f13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511705",
    "kind": "arxiv",
    "version": 1
  }
}