Pith Number

pith:K433I5DN

pith:2024:K433I5DNVOYYGOZOV2WZUSCJCO

not attested not anchored not stored refs pending

Indirect Optimization of Multi-Phase Trajectories Involving Arbitrary Discrete Logic

Harish Saranathan

arxiv:2412.07960 v1 · 2024-12-10 · 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{K433I5DNVOYYGOZOV2WZUSCJCO}

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	2026-07-05T10:50:45.908681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5737b4746dabb1833b2eaead9a48491399cab970f411cefc068432e47be78f59

Aliases

arxiv: 2412.07960 · arxiv_version: 2412.07960v1 · doi: 10.48550/arxiv.2412.07960 · pith_short_12: K433I5DNVOYY · pith_short_16: K433I5DNVOYYGOZO · pith_short_8: K433I5DN

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/K433I5DNVOYYGOZOV2WZUSCJCO \
  | 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: 5737b4746dabb1833b2eaead9a48491399cab970f411cefc068432e47be78f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "149aff1dfb810cddc8921280b7a658e807f9740f366b60c40f6bdd93d04ce70f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-12-10T22:53:03Z",
    "title_canon_sha256": "f67a4669a9ac5ae33254e55b0917bd4f6480abd1321038d254cdd2b07849d640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07960",
    "kind": "arxiv",
    "version": 1
  }
}