Pith Number

pith:45VS3JNP

pith:2026:45VS3JNP7PBENJDJTSIDJUPG6I

not attested not anchored not stored refs pending

Universal Triangle Covering Curve and Polygonal Chain: Escaping Forest and Fitting Worm

Zhipeng Deng

arxiv:2608.01393 v1 · 2026-08-02 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45VS3JNP7PBENJDJTSIDJUPG6I}

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	2026-08-04T02:04:56.613840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76b2da5affbc246a4699c9034d1e6f2389a1dfe51f35e350586c21908c0f8cf

Aliases

arxiv: 2608.01393 · arxiv_version: 2608.01393v1 · doi: 10.48550/arxiv.2608.01393 · pith_short_12: 45VS3JNP7PBE · pith_short_16: 45VS3JNP7PBENJDJ · pith_short_8: 45VS3JNP

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/45VS3JNP7PBENJDJTSIDJUPG6I \
  | 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: e76b2da5affbc246a4699c9034d1e6f2389a1dfe51f35e350586c21908c0f8cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ac095868ce70e523c731386eccfa8debb23d3c04302f50e38f989967ea9b03b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-08-02T17:17:32Z",
    "title_canon_sha256": "38d8079f9671cf76fc512e8ea6ccb8828dc0f7d48b2337d8196874c41dbba231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01393",
    "kind": "arxiv",
    "version": 1
  }
}