Pith Number

pith:EGZOGDA5

pith:2012:EGZOGDA5NCXLGOJLQZSUX4NN4H

not attested not anchored not stored refs pending

On the mixing set with a knapsack constraint

Ahmad Abdi, Ricardo Fukasawa

arxiv:1207.1077 v1 · 2012-07-04 · 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{EGZOGDA5NCXLGOJLQZSUX4NN4H}

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	2026-05-18T03:51:47.581009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21b2e30c1d68aeb3392b86654bf1ade1e66c62cdad939198a6909b78cdee92ad

Aliases

arxiv: 1207.1077 · arxiv_version: 1207.1077v1 · doi: 10.48550/arxiv.1207.1077 · pith_short_12: EGZOGDA5NCXL · pith_short_16: EGZOGDA5NCXLGOJL · pith_short_8: EGZOGDA5

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/EGZOGDA5NCXLGOJLQZSUX4NN4H \
  | 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: 21b2e30c1d68aeb3392b86654bf1ade1e66c62cdad939198a6909b78cdee92ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a569d58920ade22615a24d911a2cac01017cb183d81838fac0c238c4e136e27d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-07-04T18:47:21Z",
    "title_canon_sha256": "0deb11e66f4a53176e99a2be311fb4d51c2bbdfb2210c26170f0ba7b6d408b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1077",
    "kind": "arxiv",
    "version": 1
  }
}