Pith Number

pith:NLVLGA7R

pith:2015:NLVLGA7RWQIXKSSPBH5SXLBU3M

not attested not anchored not stored refs pending

Bridge numbers of knots in the page of an open book

Jesse Johnson, R. Sean Bowman

arxiv:1502.04228 v1 · 2015-02-14 · 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{NLVLGA7RWQIXKSSPBH5SXLBU3M}

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	2026-05-18T02:27:00.193858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aeab303f1b411754a4f09fb2bac34db3003ef5c6a332601796ffdbeecf6061d

Aliases

arxiv: 1502.04228 · arxiv_version: 1502.04228v1 · doi: 10.48550/arxiv.1502.04228 · pith_short_12: NLVLGA7RWQIX · pith_short_16: NLVLGA7RWQIXKSSP · pith_short_8: NLVLGA7R

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/NLVLGA7RWQIXKSSPBH5SXLBU3M \
  | 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: 6aeab303f1b411754a4f09fb2bac34db3003ef5c6a332601796ffdbeecf6061d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6e811a28d8906551b80a76f1f2f9c23038539d2341e228fbdfdb20722c1f1c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-14T17:31:25Z",
    "title_canon_sha256": "b351a9ce60013b64ff9da85f25f10124eb6bef82c01f5ccd6718b3d0e85e2b2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04228",
    "kind": "arxiv",
    "version": 1
  }
}