Pith Number

pith:7KA2A557

pith:2011:7KA2A557LOKBRMAZJWXSUMFMLD

not attested not anchored not stored refs pending

Triangulating a Cappell-Shaneson knot complement

Benjamin A. Burton, Jonathan Hillman, Ryan Budney

arxiv:1109.3899 v3 · 2011-09-18 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KA2A557LOKBRMAZJWXSUMFMLD}

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	2026-05-18T02:56:05.427968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa81a077bf5b9418b0194daf2a30ac58d94b7a63b312343314c06a8dc95f153a

Aliases

arxiv: 1109.3899 · arxiv_version: 1109.3899v3 · doi: 10.48550/arxiv.1109.3899 · pith_short_12: 7KA2A557LOKB · pith_short_16: 7KA2A557LOKBRMAZ · pith_short_8: 7KA2A557

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/7KA2A557LOKBRMAZJWXSUMFMLD \
  | 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: fa81a077bf5b9418b0194daf2a30ac58d94b7a63b312343314c06a8dc95f153a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c6b02d348219775abe92cea20ba00ee8016721aa7d8831384a6c9dc8f32e57f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-18T18:47:02Z",
    "title_canon_sha256": "ba9d087ac7bf62c9c192408f4e6fb451f6cd0e44f2519ed7c99a511ab23f6479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3899",
    "kind": "arxiv",
    "version": 3
  }
}