Pith Number

pith:TX2GXFPI

pith:2019:TX2GXFPI7JFGBMHW5RTR32Y3GD

not attested not anchored not stored refs pending

Near-optimal Approximate Discrete and Continuous Submodular Function Minimization

Aaron Sidford, Brian Axelrod, Yang P. Liu

arxiv:1909.00171 v1 · 2019-08-31 · cs.DS · 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{TX2GXFPI7JFGBMHW5RTR32Y3GD}

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	2026-07-05T00:03:17.562449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9df46b95e8fa4a60b0f6ec671deb1b30c75cd95ede33d05088f820ca80a67723

Aliases

arxiv: 1909.00171 · arxiv_version: 1909.00171v1 · doi: 10.48550/arxiv.1909.00171 · pith_short_12: TX2GXFPI7JFG · pith_short_16: TX2GXFPI7JFGBMHW · pith_short_8: TX2GXFPI

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/TX2GXFPI7JFGBMHW5RTR32Y3GD \
  | 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: 9df46b95e8fa4a60b0f6ec671deb1b30c75cd95ede33d05088f820ca80a67723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97e53990f90604f5445dbed857415a0b701863ad257f288002a90e6ecf8c7be8",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-08-31T09:09:08Z",
    "title_canon_sha256": "4f7520f2c79736cd1839a68f59dc1141ef65e702906b57c649e53a04ed552e4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00171",
    "kind": "arxiv",
    "version": 1
  }
}