Pith Number

pith:37STZR4Z

pith:2017:37STZR4Z2MPRG2FDZRKSKDMU6U

not attested not anchored not stored refs pending

Flat plumbing basket, self-linking number and Thurston-Bennequin number

Keiji Tagami

arxiv:1709.08837 v2 · 2017-09-26 · 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{37STZR4Z2MPRG2FDZRKSKDMU6U}

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	2026-05-18T00:31:35.595989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe53cc799d31f1368a3cc55250d94f50e7740de826e852a9552cf07989cc25d

Aliases

arxiv: 1709.08837 · arxiv_version: 1709.08837v2 · doi: 10.48550/arxiv.1709.08837 · pith_short_12: 37STZR4Z2MPR · pith_short_16: 37STZR4Z2MPRG2FD · pith_short_8: 37STZR4Z

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/37STZR4Z2MPRG2FDZRKSKDMU6U \
  | 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: dfe53cc799d31f1368a3cc55250d94f50e7740de826e852a9552cf07989cc25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ee5eac46afe8947a6dbdbee242e697bc2816c32d73808403cce858aedb0255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-09-26T05:26:06Z",
    "title_canon_sha256": "f1bff91951376e767fa1763ca615a4f08c5ffcd5e1d2d8c58c9355bf1da311dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08837",
    "kind": "arxiv",
    "version": 2
  }
}