Pith Number

pith:PY3AVO4Z

pith:2016:PY3AVO4ZKUZBDGXILQZG3IOZ2I

not attested not anchored not stored refs pending

On the containment problem

Justyna Szpond, Tomasz Szemberg

arxiv:1601.01308 v1 · 2016-01-06 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PY3AVO4ZKUZBDGXILQZG3IOZ2I}

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	2026-05-18T00:20:44.947524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e360abb995532119ae85c326da1d9d22d0e7bb7ce9a0dfc156eecd2bd53e30c

Aliases

arxiv: 1601.01308 · arxiv_version: 1601.01308v1 · doi: 10.48550/arxiv.1601.01308 · pith_short_12: PY3AVO4ZKUZB · pith_short_16: PY3AVO4ZKUZBDGXI · pith_short_8: PY3AVO4Z

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/PY3AVO4ZKUZBDGXILQZG3IOZ2I \
  | 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: 7e360abb995532119ae85c326da1d9d22d0e7bb7ce9a0dfc156eecd2bd53e30c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5923d9658b5f1847cb2933780afe16547c322c79bc218657d12ca0cb39a0e5f",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-06T20:47:16Z",
    "title_canon_sha256": "fed8cb2ad16330ad41d2e7dc1f8d8db79f12621b984a5c99ebc6721848ff9b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01308",
    "kind": "arxiv",
    "version": 1
  }
}