Pith Number

pith:XUTN66YS

pith:2026:XUTN66YS37EML7IQSOJUH6OFWL

not attested not anchored not stored refs pending

Convex Relaxations for the Optimization of Markov Processes

Hongyi Zhang, Tianyun Tang, YueHaw Khoo

arxiv:2607.09423 v1 · 2026-07-10 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUTN66YS37EML7IQSOJUH6OFWL}

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	2026-07-13T01:19:13.143687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd26df7b12dfc8c5fd10939343f9c5b2c7c3ade68e07a6907d314f4c9200d713

Aliases

arxiv: 2607.09423 · arxiv_version: 2607.09423v1 · doi: 10.48550/arxiv.2607.09423 · pith_short_12: XUTN66YS37EM · pith_short_16: XUTN66YS37EML7IQ · pith_short_8: XUTN66YS

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/XUTN66YS37EML7IQSOJUH6OFWL \
  | 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: bd26df7b12dfc8c5fd10939343f9c5b2c7c3ade68e07a6907d314f4c9200d713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba18a5ac3da2362b4007fa72f2ae30f2f81f69c3d05c285c2f6275be22ba569c",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-10T13:51:03Z",
    "title_canon_sha256": "eba80ecdf6f2e19ac778163fe57f498f7704eb594cb8ee3f9bed72c633d94427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09423",
    "kind": "arxiv",
    "version": 1
  }
}