Pith Number

pith:PPV77TT5

pith:2013:PPV77TT5QQQ4ZGIR5WAZIAP2HL

not attested not anchored not stored refs pending

Stochastic spatial model of producer-consumer systems on the lattice

Nicolas Lanchier

arxiv:1301.0119 v1 · 2013-01-01 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PPV77TT5QQQ4ZGIR5WAZIAP2HL}

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	2026-05-18T03:37:28.167686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bebffce7d8421cc9911ed819401fa3af759769aeb8442b6d77108f024e5baf6

Aliases

arxiv: 1301.0119 · arxiv_version: 1301.0119v1 · doi: 10.48550/arxiv.1301.0119 · pith_short_12: PPV77TT5QQQ4 · pith_short_16: PPV77TT5QQQ4ZGIR · pith_short_8: PPV77TT5

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/PPV77TT5QQQ4ZGIR5WAZIAP2HL \
  | 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: 7bebffce7d8421cc9911ed819401fa3af759769aeb8442b6d77108f024e5baf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87e62f533642e7a25647b959e8f8cd2be6fe119176c7518694955a5ef02b0fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-01T18:47:49Z",
    "title_canon_sha256": "530c3f06f8cc9257df913b5125acb7d2c0cf5ef0b2cf532bdf9577f465529da8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0119",
    "kind": "arxiv",
    "version": 1
  }
}