Pith Number

pith:RTKA3TUT

pith:2010:RTKA3TUTUDKFSBMXMNEMIY3SAD

not attested not anchored not stored refs pending

Isodiametric sets in the Heisenberg group

Davide Vittone, Gian Paolo Leonardi, Severine Rigot

arxiv:1010.1133 v1 · 2010-10-06 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTKA3TUTUDKFSBMXMNEMIY3SAD}

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	2026-05-18T04:39:49.751632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cd40dce93a0d45905976348c4637200dc7b01020f30575764a295e7410c4a80

Aliases

arxiv: 1010.1133 · arxiv_version: 1010.1133v1 · doi: 10.48550/arxiv.1010.1133 · pith_short_12: RTKA3TUTUDKF · pith_short_16: RTKA3TUTUDKFSBMX · pith_short_8: RTKA3TUT

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/RTKA3TUTUDKFSBMXMNEMIY3SAD \
  | 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: 8cd40dce93a0d45905976348c4637200dc7b01020f30575764a295e7410c4a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93878c91ba1096fb76d2528bca1cc35922f2c7d98fd49be2b16689d03fc7ee61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-10-06T12:09:29Z",
    "title_canon_sha256": "b016bfbd672bf1bfba67cccf6834486be555a717fcbe17bd82e361aff4f78a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1133",
    "kind": "arxiv",
    "version": 1
  }
}