Pith Number

pith:AZDH54MV

pith:2013:AZDH54MVV6ZTXEBWX2YUXLDNOT

not attested not anchored not stored refs pending

Rigid polyboxes and Keller's conjecture

Andrzej P. Kisielewicz

arxiv:1304.1639 v5 · 2013-04-05 · math.MG · 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{AZDH54MVV6ZTXEBWX2YUXLDNOT}

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	2026-05-18T02:30:32.653590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06467ef195afb33b9036beb14bac6d74fc8e48ba798eff992b21f004e7e51719

Aliases

arxiv: 1304.1639 · arxiv_version: 1304.1639v5 · doi: 10.48550/arxiv.1304.1639 · pith_short_12: AZDH54MVV6ZT · pith_short_16: AZDH54MVV6ZTXEBW · pith_short_8: AZDH54MV

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/AZDH54MVV6ZTXEBWX2YUXLDNOT \
  | 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: 06467ef195afb33b9036beb14bac6d74fc8e48ba798eff992b21f004e7e51719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e95738e6c3e3113c303d380ab573b90bd26dc0d3400ea43a3597be39e42156f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-04-05T08:35:50Z",
    "title_canon_sha256": "2247dbb0a0c54f8b044f0d44d76aac5effce83a328d788e4d7dcede536cf5b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1639",
    "kind": "arxiv",
    "version": 5
  }
}