Pith Number

pith:VLCZU46I

pith:2018:VLCZU46IB52XY75AMH77GDIAZJ

not attested not anchored not stored refs pending

Udo Pachner (1947-2002) - A "Hidden Champion" in Mathematics

Peter Kleinschmidt

arxiv:1802.09357 v1 · 2018-02-22 · math.HO · 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{VLCZU46IB52XY75AMH77GDIAZJ}

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	2026-05-18T00:22:33.937302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac59a73c80f757c7fa061fff30d00ca5f05c0c8c97b39a029f8efc18a825223

Aliases

arxiv: 1802.09357 · arxiv_version: 1802.09357v1 · doi: 10.48550/arxiv.1802.09357 · pith_short_12: VLCZU46IB52X · pith_short_16: VLCZU46IB52XY75A · pith_short_8: VLCZU46I

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/VLCZU46IB52XY75AMH77GDIAZJ \
  | 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: aac59a73c80f757c7fa061fff30d00ca5f05c0c8c97b39a029f8efc18a825223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "291459cb3087a23e329819c1a55f995b2a5f207e07bbb9bd129b818c8a90bd3b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-02-22T09:34:07Z",
    "title_canon_sha256": "f74885b86267c413f4c6fc02b85b0f37e2dfa9f519357c54d2db7d770b098327"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09357",
    "kind": "arxiv",
    "version": 1
  }
}