Pith Number

pith:JULIQVRE

pith:2020:JULIQVRE3DW3N36FRMBZBSI4QR

not attested not anchored not stored refs pending

Long-time behavior and darwinian optimality for an asymmetric size-structured branching process

Beno\^ite de Saporta, Bertrand Cloez, Tristan Roget

arxiv:2007.08797 v1 · 2020-07-17 · 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{JULIQVRE3DW3N36FRMBZBSI4QR}

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	2026-07-05T01:19:57.450762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d16885624d8edb6efc58b0390c91c845f7e8bcbd6cdda18a65506e468baebee

Aliases

arxiv: 2007.08797 · arxiv_version: 2007.08797v1 · doi: 10.48550/arxiv.2007.08797 · pith_short_12: JULIQVRE3DW3 · pith_short_16: JULIQVRE3DW3N36F · pith_short_8: JULIQVRE

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/JULIQVRE3DW3N36FRMBZBSI4QR \
  | 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: 4d16885624d8edb6efc58b0390c91c845f7e8bcbd6cdda18a65506e468baebee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9e945ea24a6f27496bcf7efce26f7cfebcabbb3aae5118ede6ff9283c4d65a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-07-17T07:41:36Z",
    "title_canon_sha256": "e9ba80f6f16813a0b36f4b9eb265e895ca4c6f92bf86f44c639b19902ced5edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08797",
    "kind": "arxiv",
    "version": 1
  }
}