Pith Number

pith:KI67C3DF

pith:2025:KI67C3DFPXDR7P74L7OQZZOSKL

not attested not anchored not stored refs pending

Robust Paths: Geometry and Computation

Hao Hao, Peter Zhang

arxiv:2508.20039 v1 · 2025-08-27 · 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{KI67C3DFPXDR7P74L7OQZZOSKL}

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	2026-07-05T12:00:22.753937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523df16c657dc71fbffc5fdd0ce5d252c1a540a5d2344e42440aba2485c18313

Aliases

arxiv: 2508.20039 · arxiv_version: 2508.20039v1 · doi: 10.48550/arxiv.2508.20039 · pith_short_12: KI67C3DFPXDR · pith_short_16: KI67C3DFPXDR7P74 · pith_short_8: KI67C3DF

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/KI67C3DFPXDR7P74L7OQZZOSKL \
  | 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: 523df16c657dc71fbffc5fdd0ce5d252c1a540a5d2344e42440aba2485c18313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "566f02ff92b4b1bcadbb5104cf0f08191904468617a5afd2bfceef23ba8e7210",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-27T16:46:53Z",
    "title_canon_sha256": "458ae74a44052aee4888f4601a4990a0cc46dfcca45b0d07a41cd84bdd6120b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20039",
    "kind": "arxiv",
    "version": 1
  }
}