Pith Number

pith:IA3KWA5P

pith:2012:IA3KWA5PJZKOISQUTGYRVXYT5L

not attested not anchored not stored refs pending

Operational semantics for product-form solution

Maria Grazia Vigliotti

arxiv:1212.4846 v1 · 2012-12-19 · cs.PF · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IA3KWA5PJZKOISQUTGYRVXYT5L}

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	2026-05-18T03:38:04.527001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4036ab03af4e54e44a1499b11adf13eaf31785a279205b2ec33b90c54dff6fe8

Aliases

arxiv: 1212.4846 · arxiv_version: 1212.4846v1 · doi: 10.48550/arxiv.1212.4846 · pith_short_12: IA3KWA5PJZKO · pith_short_16: IA3KWA5PJZKOISQU · pith_short_8: IA3KWA5P

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/IA3KWA5PJZKOISQUTGYRVXYT5L \
  | 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: 4036ab03af4e54e44a1499b11adf13eaf31785a279205b2ec33b90c54dff6fe8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae105526b9fdf3483a890e834e92456fff0050ecb237f7db7ef3374576fc0fb",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PF",
    "submitted_at": "2012-12-19T21:00:28Z",
    "title_canon_sha256": "6ec15d7f346daf20d96b8af9562eaad696d2aff3472b35d5aff9b1925b18b0ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4846",
    "kind": "arxiv",
    "version": 1
  }
}