Pith Number

pith:NTIEFTKL

pith:2016:NTIEFTKL26XIPYG5XVO5D5W5FE

not attested not anchored not stored refs pending

Verifying Integer Programming Results

Ambros Gleixner, Daniel E. Steffy, Kevin K. H. Cheung

arxiv:1611.08832 v2 · 2016-11-27 · math.OC · cs.DM · cs.MS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTIEFTKL26XIPYG5XVO5D5W5FE}

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	2026-05-17T23:57:07.907146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd042cd4bd7ae87e0ddbd5dd1f6dd29140d25dfda4bab816eb16ff87ddb9292

Aliases

arxiv: 1611.08832 · arxiv_version: 1611.08832v2 · doi: 10.48550/arxiv.1611.08832 · pith_short_12: NTIEFTKL26XI · pith_short_16: NTIEFTKL26XIPYG5 · pith_short_8: NTIEFTKL

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/NTIEFTKL26XIPYG5XVO5D5W5FE \
  | 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: 6cd042cd4bd7ae87e0ddbd5dd1f6dd29140d25dfda4bab816eb16ff87ddb9292

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0820a29c02d18ad97134d8751ae2909d405a102fcafbb73652505c225f26cd6e",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.MS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-11-27T12:27:03Z",
    "title_canon_sha256": "caefef234d4feddfe32ad43dc7360bbb76b9ce8053fcd2ed08d3b89b7ab3ea95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08832",
    "kind": "arxiv",
    "version": 2
  }
}