Pith Number

pith:PNQ5TW6Y

pith:2019:PNQ5TW6Y7UYWQ5KQKWSOIHLV6A

not attested not anchored not stored refs pending

The GMS model with threshold extinction

Carolina Grejo, F\'abio Sternieri Marque, Luiz Renato Fontes

arxiv:1903.09544 v1 · 2019-03-22 · 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{PNQ5TW6Y7UYWQ5KQKWSOIHLV6A}

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	2026-05-17T23:50:39.307276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b61d9dbd8fd3168755055a4e41d75f00d282fcfa8a3a7a5e26a9e7a8b897b9f

Aliases

arxiv: 1903.09544 · arxiv_version: 1903.09544v1 · doi: 10.48550/arxiv.1903.09544 · pith_short_12: PNQ5TW6Y7UYW · pith_short_16: PNQ5TW6Y7UYWQ5KQ · pith_short_8: PNQ5TW6Y

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/PNQ5TW6Y7UYWQ5KQKWSOIHLV6A \
  | 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: 7b61d9dbd8fd3168755055a4e41d75f00d282fcfa8a3a7a5e26a9e7a8b897b9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137d590ff8dd324e8375112a26b55ad826510c732efcbb6d0a8f6d49a0d67191",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-22T15:09:59Z",
    "title_canon_sha256": "295f7fd519c4e7ecba99ddce42e4c8b839cfb29f552913f139253ae60e108c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09544",
    "kind": "arxiv",
    "version": 1
  }
}