Pith Number

pith:EXRHOCI5

pith:2026:EXRHOCI5KZ4OGLPLI2JV47ESAY

not attested not anchored not stored refs pending

A frugal primal-dual splitting with minimal lifting over arbitrary rooted trees

Feng Xue, Hui Zhang

arxiv:2607.18932 v1 · 2026-07-21 · 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{EXRHOCI5KZ4OGLPLI2JV47ESAY}

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	2026-07-22T01:23:20.570351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25e277091d5678e32deb46935e7c920637c547ce54c9fd3e2c60c3239a13229d

Aliases

arxiv: 2607.18932 · arxiv_version: 2607.18932v1 · doi: 10.48550/arxiv.2607.18932 · pith_short_12: EXRHOCI5KZ4O · pith_short_16: EXRHOCI5KZ4OGLPL · pith_short_8: EXRHOCI5

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/EXRHOCI5KZ4OGLPLI2JV47ESAY \
  | 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: 25e277091d5678e32deb46935e7c920637c547ce54c9fd3e2c60c3239a13229d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9252ec33c28c9d39cadca1704b7384a5c0e3bbfbf237b717b92c3b1f2c74b609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-21T10:13:52Z",
    "title_canon_sha256": "c1bd75a63e7660ab8f4837e54b8420b66bbc2d6097d67f1ea8e45301d67081c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18932",
    "kind": "arxiv",
    "version": 1
  }
}