Pith Number

pith:LDT66NWM

pith:2017:LDT66NWMIF45CVKBCBPVUOZYSB

not attested not anchored not stored refs pending

Positive Opetopes with Contractions form a Test Category

Marek Zawadowski

arxiv:1712.06033 v2 · 2017-12-16 · math.CT · math.AT · 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{LDT66NWMIF45CVKBCBPVUOZYSB}

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	2026-05-18T00:26:23.286262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58e7ef36cc4179d15541105f5a3b38907fc2dc112b3173287d4655cbabe939b3

Aliases

arxiv: 1712.06033 · arxiv_version: 1712.06033v2 · doi: 10.48550/arxiv.1712.06033 · pith_short_12: LDT66NWMIF45 · pith_short_16: LDT66NWMIF45CVKB · pith_short_8: LDT66NWM

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/LDT66NWMIF45CVKBCBPVUOZYSB \
  | 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: 58e7ef36cc4179d15541105f5a3b38907fc2dc112b3173287d4655cbabe939b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371c5aefd12cd9f052553470fa1aae08b52b2e0a88f4134769e1783c655ed987",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-12-16T23:28:13Z",
    "title_canon_sha256": "4b285785e43c2274c01d0de66216c9ef78509a5a62579e9606c21b054d12f01e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06033",
    "kind": "arxiv",
    "version": 2
  }
}