Pith Number

pith:GJ4NIM43

pith:2016:GJ4NIM43AJ3NON6UKTGH5Y2IST

not attested not anchored not stored refs pending

The Bundled Crossing Number

Martin Fink, Md. Jawaherul Alam, Sergey Pupyrev

arxiv:1608.08161 v2 · 2016-08-29 · cs.CG · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJ4NIM43AJ3NON6UKTGH5Y2IST}

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	2026-05-18T01:06:28.310930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3278d4339b0276d737d454cc7ee34894ecf41a5b69c9bd6a9e8f2bafd9302ba6

Aliases

arxiv: 1608.08161 · arxiv_version: 1608.08161v2 · doi: 10.48550/arxiv.1608.08161 · pith_short_12: GJ4NIM43AJ3N · pith_short_16: GJ4NIM43AJ3NON6U · pith_short_8: GJ4NIM43

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/GJ4NIM43AJ3NON6UKTGH5Y2IST \
  | 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: 3278d4339b0276d737d454cc7ee34894ecf41a5b69c9bd6a9e8f2bafd9302ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591843484d7c186ee071a9cb9acd53131eacaa2fde9510b8eb6af1b2d6722eac",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-08-29T18:07:48Z",
    "title_canon_sha256": "05b882f6fd65b1fca2a1e58a5a94d7c4434a12ff02794d7d89a2cc7c53a70bfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08161",
    "kind": "arxiv",
    "version": 2
  }
}