Pith Number

pith:R4CZQE5W

pith:2011:R4CZQE5WQWHG2PEFE6LMI5FNVC

not attested not anchored not stored refs pending

Band taut sutured manifolds

Scott A. Taylor

arxiv:1109.5220 v3 · 2011-09-24 · 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{R4CZQE5WQWHG2PEFE6LMI5FNVC}

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	2026-05-18T02:41:43.640227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f059813b6858e6d3c852796c474ada8b66bba2ea57e0e9c1350507f32f014a9

Aliases

arxiv: 1109.5220 · arxiv_version: 1109.5220v3 · doi: 10.48550/arxiv.1109.5220 · pith_short_12: R4CZQE5WQWHG · pith_short_16: R4CZQE5WQWHG2PEF · pith_short_8: R4CZQE5W

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/R4CZQE5WQWHG2PEFE6LMI5FNVC \
  | 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: 8f059813b6858e6d3c852796c474ada8b66bba2ea57e0e9c1350507f32f014a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf9c117f1d9a8914f3c3c0f07293ac4775dcfd88a090b6e50df7339547ee6aeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-09-24T00:50:23Z",
    "title_canon_sha256": "4fbe8e4f3a8243708166080b311402c712c16f10edb8b6ad6e95499a720a42fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5220",
    "kind": "arxiv",
    "version": 3
  }
}