Pith Number

pith:NGS3DW5I

pith:2019:NGS3DW5IFKBJYNSUSYSRBRSVIE

not attested not anchored not stored refs pending

Recognizing and realizing cactus metrics

Katharina T. Huber, Momoko Hayamizu, Vincent Moulton, Yukihiro Murakami

arxiv:1908.01524 v2 · 2019-08-05 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGS3DW5IFKBJYNSUSYSRBRSVIE}

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	2026-07-05T00:38:54.476276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a5b1dba82a829c3654962510c655413a9a218d140d57647d32063f211999a8

Aliases

arxiv: 1908.01524 · arxiv_version: 1908.01524v2 · doi: 10.48550/arxiv.1908.01524 · pith_short_12: NGS3DW5IFKBJ · pith_short_16: NGS3DW5IFKBJYNSU · pith_short_8: NGS3DW5I

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/NGS3DW5IFKBJYNSUSYSRBRSVIE \
  | 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: 69a5b1dba82a829c3654962510c655413a9a218d140d57647d32063f211999a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32d84e2f89812cafb2668c5cdf237ccba09c083596fa0b6aa4fe464738461a66",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-05T09:02:47Z",
    "title_canon_sha256": "67ac6f82b479636a31c75fb12296a55e9c4005a49c0148979226dcf2eee28c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01524",
    "kind": "arxiv",
    "version": 2
  }
}