Pith Number

pith:Z5TUSMGQ

pith:2016:Z5TUSMGQPTO7KEXC57ZZV3AH4P

not attested not anchored not stored refs pending

On open and closed convex codes

Bill Kronholm, Chad Giusti, Joshua Cruz, Vladimir Itskov

arxiv:1609.03502 v3 · 2016-09-12 · math.CO · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5TUSMGQPTO7KEXC57ZZV3AH4P}

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	2026-05-18T00:43:30.455543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf674930d07cddf512e2eff39aec07e3e085d098c4a87ecb536ad7a8d4929e2f

Aliases

arxiv: 1609.03502 · arxiv_version: 1609.03502v3 · doi: 10.48550/arxiv.1609.03502 · pith_short_12: Z5TUSMGQPTO7 · pith_short_16: Z5TUSMGQPTO7KEXC · pith_short_8: Z5TUSMGQ

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/Z5TUSMGQPTO7KEXC57ZZV3AH4P \
  | 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: cf674930d07cddf512e2eff39aec07e3e085d098c4a87ecb536ad7a8d4929e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "060b630903846e6424039ba62a32bc6349b8c7f5bd47e2f60334bef1009de7a3",
    "cross_cats_sorted": [
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-12T17:50:02Z",
    "title_canon_sha256": "5e3155f1c620724652d6f7d7e90d8b0f0e664348429eaf3e1d96b42a6b7aa38a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03502",
    "kind": "arxiv",
    "version": 3
  }
}