Pith Number

pith:5VYMJAJD

pith:2015:5VYMJAJDCKWBJ7DXCPBNLWYW6Z

not attested not anchored not stored refs pending

Another pedagogy for pure-integer Gomory

Jon Lee, Qi He

arxiv:1507.05358 v2 · 2015-07-20 · 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{5VYMJAJDCKWBJ7DXCPBNLWYW6Z}

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	2026-05-18T00:03:00.652205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed70c4812312ac14fc7713c2d5db16f6572cc88c0a45fd2e4c45ceb5a03ff41c

Aliases

arxiv: 1507.05358 · arxiv_version: 1507.05358v2 · doi: 10.48550/arxiv.1507.05358 · pith_short_12: 5VYMJAJDCKWB · pith_short_16: 5VYMJAJDCKWBJ7DX · pith_short_8: 5VYMJAJD

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/5VYMJAJDCKWBJ7DXCPBNLWYW6Z \
  | 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: ed70c4812312ac14fc7713c2d5db16f6572cc88c0a45fd2e4c45ceb5a03ff41c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b0d29b8962313ad85d6791747bc065f49be0fc0a3cb7a2bb8a4a406ee7bd731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-07-20T00:39:48Z",
    "title_canon_sha256": "4ce89f3ef69998781ddd5c70b5ce7c4211eb124632b8ff39fa7ad9c246a93825"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05358",
    "kind": "arxiv",
    "version": 2
  }
}