Pith Number

pith:5LGHB7TF

pith:2025:5LGHB7TFXXOP2S2G6NWVK7GA5A

not attested not anchored not stored refs pending

Frank-Wolfe Recursions for the Emergency Response Problem on Measure Spaces

Di Yu, Raghu Pasupathy, Shane G. Henderson

arxiv:2507.09808 v1 · 2025-07-13 · math.OC · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LGHB7TFXXOP2S2G6NWVK7GA5A}

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	2026-07-05T11:36:40.081620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eacc70fe65bddcfd4b46f36d557cc0e80c1ebc2ac0b0ebfbdfdbf43823c9eaaf

Aliases

arxiv: 2507.09808 · arxiv_version: 2507.09808v1 · doi: 10.48550/arxiv.2507.09808 · pith_short_12: 5LGHB7TFXXOP · pith_short_16: 5LGHB7TFXXOP2S2G · pith_short_8: 5LGHB7TF

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/5LGHB7TFXXOP2S2G6NWVK7GA5A \
  | 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: eacc70fe65bddcfd4b46f36d557cc0e80c1ebc2ac0b0ebfbdfdbf43823c9eaaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2342023b18b3ca88324860ba93f4b1fdd790d3c097811df2631597800282f4a6",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-13T21:53:44Z",
    "title_canon_sha256": "ef6ab768d9b1d7d3ff536f25d1979877c5c327c3b956df2a3da08225c4f59074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09808",
    "kind": "arxiv",
    "version": 1
  }
}