Pith Number

pith:B4V3DUKF

pith:2014:B4V3DUKFKBDRTGCS2SOSU67ZW3

not attested not anchored not stored refs pending

Weakly Coupled Dynamic Program: Information and Lagrangian Relaxations

Enlu Zhou, Fan Ye, Helin Zhu

arxiv:1405.3363 v1 · 2014-05-14 · 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{B4V3DUKFKBDRTGCS2SOSU67ZW3}

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	2026-05-18T02:51:56.250293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2bb1d1455047199852d49d2a7bf9b6e620a4c1889ab3a45c0c18a62733064f

Aliases

arxiv: 1405.3363 · arxiv_version: 1405.3363v1 · doi: 10.48550/arxiv.1405.3363 · pith_short_12: B4V3DUKFKBDR · pith_short_16: B4V3DUKFKBDRTGCS · pith_short_8: B4V3DUKF

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/B4V3DUKFKBDRTGCS2SOSU67ZW3 \
  | 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: 0f2bb1d1455047199852d49d2a7bf9b6e620a4c1889ab3a45c0c18a62733064f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9378a5458f5ae007f00b5912ce2ee2ac889f4cb9baff542e2c6de82a9afab63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-05-14T05:11:20Z",
    "title_canon_sha256": "d1601b28b03e92f3750a0d7afd38c70accd3a4551aa3bd68116d3152ad3de89e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3363",
    "kind": "arxiv",
    "version": 1
  }
}