Pith Number

pith:AWCTIVF6

pith:2018:AWCTIVF6772ZGWWX5FWRROWI36

not attested not anchored not stored refs pending

Distinguishing density and the Distinct Spheres Condition

Florian Lehner, Simon M. Smith, Wilfried Imrich

arxiv:1801.02405 v1 · 2018-01-08 · 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{AWCTIVF6772ZGWWX5FWRROWI36}

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	2026-05-18T00:26:31.706789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05853454befff5935ad7e96d18bac8dfacf6ca347a0cb4b21970ab6683f6bf81

Aliases

arxiv: 1801.02405 · arxiv_version: 1801.02405v1 · doi: 10.48550/arxiv.1801.02405 · pith_short_12: AWCTIVF6772Z · pith_short_16: AWCTIVF6772ZGWWX · pith_short_8: AWCTIVF6

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/AWCTIVF6772ZGWWX5FWRROWI36 \
  | 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: 05853454befff5935ad7e96d18bac8dfacf6ca347a0cb4b21970ab6683f6bf81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2e35ba5e29b8b425665b59076b009d1abe8cb1d2a97115c563e81224851552",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-08T12:37:13Z",
    "title_canon_sha256": "06d4ab427081ad2798894eedd79d733259297f8d9e6ee960633303ee91becb17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02405",
    "kind": "arxiv",
    "version": 1
  }
}