Pith Number

pith:IW3TL6VF

pith:2008:IW3TL6VFE2KSKXH62SBSZ54MDS

not attested not anchored not stored refs pending

The optimal assignment problem for a countable state space

Marianne Akian, Stephane Gaubert, Vassili Kolokoltsov

arxiv:0812.4866 v1 · 2008-12-30 · math.OC · 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{IW3TL6VFE2KSKXH62SBSZ54MDS}

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	2026-05-18T04:32:35.344302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b735faa52695255cfed4832cf78c1c97876572debf35311998ef2ad63b8b32

Aliases

arxiv: 0812.4866 · arxiv_version: 0812.4866v1 · doi: 10.48550/arxiv.0812.4866 · pith_short_12: IW3TL6VFE2KS · pith_short_16: IW3TL6VFE2KSKXH6 · pith_short_8: IW3TL6VF

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/IW3TL6VFE2KSKXH62SBSZ54MDS \
  | 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: 45b735faa52695255cfed4832cf78c1c97876572debf35311998ef2ad63b8b32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae57f2f6559bda5c8c4b0e280c7e14cee007cefbc5847e21dcb19f37ccdffd6f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2008-12-30T09:43:59Z",
    "title_canon_sha256": "cffbd018de9e55072c62344074662a1a09d8ed1df4df1397bf4239aa8edb1407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4866",
    "kind": "arxiv",
    "version": 1
  }
}