Pith Number

pith:X3A3B432

pith:2026:X3A3B432SLYUDQ6L7DEECWHMPP

not attested not anchored not stored refs pending

Improved Strongly Polynomial Work-Span Tradeoffs for Directed Single Source Shortest Paths

George Z. Li, Isaac M. Hair, Jason Li, Junkai Zhang

arxiv:2607.19342 v1 · 2026-07-21 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3A3B432SLYUDQ6L7DEECWHMPP}

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	2026-07-22T01:24:38.136735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec1b0f37a92f141c3cbf8c84158ec7bd6d63081647238e0ab32676f8a24e192

Aliases

arxiv: 2607.19342 · arxiv_version: 2607.19342v1 · doi: 10.48550/arxiv.2607.19342 · pith_short_12: X3A3B432SLYU · pith_short_16: X3A3B432SLYUDQ6L · pith_short_8: X3A3B432

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/X3A3B432SLYUDQ6L7DEECWHMPP \
  | 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: bec1b0f37a92f141c3cbf8c84158ec7bd6d63081647238e0ab32676f8a24e192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e973d38f78930d6a7864df0c67e2fa5a75dea6703f315c7239336eec367595a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-21T17:59:04Z",
    "title_canon_sha256": "8ccb8b49b0f5d8753f797bd94038a980fa6b545300c8d925c2a1d33f01d221f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19342",
    "kind": "arxiv",
    "version": 1
  }
}