Pith Number

pith:PF3ZAQFS

pith:2012:PF3ZAQFSGAHYNFKG6YRE2YDEUW

not attested not anchored not stored refs pending

Sample programs in C++ for matrix computations in max plus algebra

Gheorghe Ivan, Mihai Ivan

arxiv:1205.4212 v1 · 2012-05-17 · cs.MS · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PF3ZAQFSGAHYNFKG6YRE2YDEUW}

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	2026-05-18T03:55:22.481641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79779040b2300f869546f6224d6064a5bd3685e269a97b581b5834c29299fbd1

Aliases

arxiv: 1205.4212 · arxiv_version: 1205.4212v1 · doi: 10.48550/arxiv.1205.4212 · pith_short_12: PF3ZAQFSGAHY · pith_short_16: PF3ZAQFSGAHYNFKG · pith_short_8: PF3ZAQFS

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/PF3ZAQFSGAHYNFKG6YRE2YDEUW \
  | 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: 79779040b2300f869546f6224d6064a5bd3685e269a97b581b5834c29299fbd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f0aa585be7d9e88bcb57a55d7eb1a61852732ab20ddf6f8834bd38afb83184",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2012-05-17T07:32:57Z",
    "title_canon_sha256": "078fe300b46f723d79817fc3a01a801e20a7ff7c24e0a5d9980b7344a2cb094b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4212",
    "kind": "arxiv",
    "version": 1
  }
}