Pith Number

pith:ZD6DTRGQ

pith:2010:ZD6DTRGQF7XLOJ5PRZKETIUODH

not attested not anchored not stored refs pending

The central curve in linear programming

Bernd Sturmfels, Cynthia Vinzant, Jes\'us A. De Loera

arxiv:1012.3978 v3 · 2010-12-17 · math.OC · math.AG · math.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{ZD6DTRGQF7XLOJ5PRZKETIUODH}

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	2026-05-18T03:49:47.615495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8fc39c4d02feeb727af8e5449a28e19fdb55b5e7685c18870381a918120fd16

Aliases

arxiv: 1012.3978 · arxiv_version: 1012.3978v3 · doi: 10.48550/arxiv.1012.3978 · pith_short_12: ZD6DTRGQF7XL · pith_short_16: ZD6DTRGQF7XLOJ5P · pith_short_8: ZD6DTRGQ

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/ZD6DTRGQF7XLOJ5PRZKETIUODH \
  | 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: c8fc39c4d02feeb727af8e5449a28e19fdb55b5e7685c18870381a918120fd16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd6033c652c4013addcc8a2715ab714c14910e65fe25a316433521941cbdccd4",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-12-17T20:49:01Z",
    "title_canon_sha256": "bdf9bb03a24e7f92a111d71e59d96f3ac2d1efbcd9ce14298467eb657d451b65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3978",
    "kind": "arxiv",
    "version": 3
  }
}