Pith Number

pith:DOUPTA5P

pith:2024:DOUPTA5PRBAK6XEQXBEEVZTK6S

not attested not anchored not stored refs pending

The cat-bat map, the figure-eight knot, and the five orbifolds

Pierre Dehornoy

arxiv:2409.06543 v1 · 2024-09-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOUPTA5PRBAK6XEQXBEEVZTK6S}

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.

Cited by

2 papers in Pith

ZeroSearch: Incentivize the Search Capability of LLMs without Searching

Receipt and verification

First computed	2026-07-05T09:05:26.224441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba8f983af8840af5c90b8484ae66af4a9239a843783bd3e127607d18478f4a1

Aliases

arxiv: 2409.06543 · arxiv_version: 2409.06543v1 · doi: 10.48550/arxiv.2409.06543 · pith_short_12: DOUPTA5PRBAK · pith_short_16: DOUPTA5PRBAK6XEQ · pith_short_8: DOUPTA5P

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/DOUPTA5PRBAK6XEQXBEEVZTK6S \
  | 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: 1ba8f983af8840af5c90b8484ae66af4a9239a843783bd3e127607d18478f4a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "536c907f65650b69ef164a1afca957f88a25491e2b4994bd8b0471ac3ead6333",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-10T14:20:38Z",
    "title_canon_sha256": "024708f62ab5c548d8d98367f7ed250da65bfc5199beb7a5324285d0652a5059"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06543",
    "kind": "arxiv",
    "version": 1
  }
}