Pith Number

pith:GJCLCDHB

pith:2016:GJCLCDHBU5O4PTXUBAR2DQYELY

not attested not anchored not stored refs pending

Subquadratic Submodular Function Minimization

Aaron Sidford, Deeparnab Chakrabarty, Sam Chiu-wai Wong, Yin Tat Lee

arxiv:1610.09800 v1 · 2016-10-31 · 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{GJCLCDHBU5O4PTXUBAR2DQYELY}

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	2026-05-18T01:00:47.159993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3244b10ce1a75dc7cef40823a1c3045e13d7bf131ba8f3c33be9c37020badaa2

Aliases

arxiv: 1610.09800 · arxiv_version: 1610.09800v1 · doi: 10.48550/arxiv.1610.09800 · pith_short_12: GJCLCDHBU5O4 · pith_short_16: GJCLCDHBU5O4PTXU · pith_short_8: GJCLCDHB

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/GJCLCDHBU5O4PTXUBAR2DQYELY \
  | 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: 3244b10ce1a75dc7cef40823a1c3045e13d7bf131ba8f3c33be9c37020badaa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9e0b89699f43d9450278de008363a6ef1959199721976998d80af18523f8580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-10-31T06:13:41Z",
    "title_canon_sha256": "41113eee4918a1f39d31b524b37dafa4133d7a993092d084dc286e99f3d6e0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09800",
    "kind": "arxiv",
    "version": 1
  }
}