Pith Number

pith:LTDNV52H

pith:2010:LTDNV52H56RVHDKCKOKBPIEYHM

not attested not anchored not stored refs pending

Surfaces that become isotopic after Dehn filling

David Bachman, Eric Sedgwick, Ryan Derby-Talbot

arxiv:1001.4259 v2 · 2010-01-24 · 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{LTDNV52H56RVHDKCKOKBPIEYHM}

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	2026-05-18T03:32:28.833866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc6daf747efa3538d42539417a0983b1cc51e7465a22ebf6b37dd685ac39fc8

Aliases

arxiv: 1001.4259 · arxiv_version: 1001.4259v2 · doi: 10.48550/arxiv.1001.4259 · pith_short_12: LTDNV52H56RV · pith_short_16: LTDNV52H56RVHDKC · pith_short_8: LTDNV52H

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/LTDNV52H56RVHDKCKOKBPIEYHM \
  | 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: 5cc6daf747efa3538d42539417a0983b1cc51e7465a22ebf6b37dd685ac39fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d96c5f0072288a86587ed03b995e17b40320243f1d38c01a8c7397b60daf8b86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-01-24T17:30:00Z",
    "title_canon_sha256": "60af0e65cd101bccc22d929a114183ec805044eebfd737f677d083dc13f084f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4259",
    "kind": "arxiv",
    "version": 2
  }
}