Pith Number

pith:YHAKFU4A

pith:2005:YHAKFU4AG2KIB3Z3WS5WKUHYTH

not attested not anchored not stored refs pending

Compact spaces generated by retractions

Wieslaw Kubis

arxiv:math/0511567 v2 · 2005-11-22 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHAKFU4AG2KIB3Z3WS5WKUHYTH}

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	2026-05-18T03:42:34.302847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1c0a2d380369480ef3bb4bb6550f899cd72c93fffb4415d935e92082aaf61c9

Aliases

arxiv: math/0511567 · arxiv_version: math/0511567v2 · doi: 10.48550/arxiv.math/0511567 · pith_short_12: YHAKFU4AG2KI · pith_short_16: YHAKFU4AG2KIB3Z3 · pith_short_8: YHAKFU4A

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/YHAKFU4AG2KIB3Z3WS5WKUHYTH \
  | 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: c1c0a2d380369480ef3bb4bb6550f899cd72c93fffb4415d935e92082aaf61c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd62f9437381e85b9a4acea61ded3eb11a69e7efc2a7e866176b828ff26500ae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GN",
    "submitted_at": "2005-11-22T18:12:49Z",
    "title_canon_sha256": "aac3a6b5b60045e567cef9eab7a71f5a9eb685f104457429eb9adf9fa8b7c14a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511567",
    "kind": "arxiv",
    "version": 2
  }
}