Pith Number

pith:M75IMBSA

pith:2026:M75IMBSAWT6JOBP3MQ7JAGU4ZF

not attested not anchored not stored refs pending

Optimization Geometrodynamics: A Framework for Dynamic Geometric Optimization

Zavier Li

arxiv:2607.06723 v1 · 2026-07-07 · math.OC · cs.LG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M75IMBSAWT6JOBP3MQ7JAGU4ZF}

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	2026-07-09T00:19:24.518782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fa860640b4fc9705fb643e901a9cc94c0a2a86e5d3bddf0928f2ed6b17e24e

Aliases

arxiv: 2607.06723 · arxiv_version: 2607.06723v1 · doi: 10.48550/arxiv.2607.06723 · pith_short_12: M75IMBSAWT6J · pith_short_16: M75IMBSAWT6JOBP3 · pith_short_8: M75IMBSA

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/M75IMBSAWT6JOBP3MQ7JAGU4ZF \
  | 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: 67fa860640b4fc9705fb643e901a9cc94c0a2a86e5d3bddf0928f2ed6b17e24e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08f95d2d997c03a5bc79cdc717cc79841f98895fdfdc947db19fb2ca3122728",
    "cross_cats_sorted": [
      "cs.LG",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-07T18:42:00Z",
    "title_canon_sha256": "ad902ad2203a92d8a3cd0a6dc34312d3abd53437ed51a4835871a938d95a6f03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06723",
    "kind": "arxiv",
    "version": 1
  }
}