Pith Number

pith:NXJN4CTC

pith:2016:NXJN4CTCPHIL6GFXQKBC35DLDR

not attested not anchored not stored refs pending

Continuous-state branching processes, extremal processes and super-individuals

Chunhua Ma, Cl\'ement Foucart

arxiv:1611.06178 v2 · 2016-11-18 · 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{NXJN4CTCPHIL6GFXQKBC35DLDR}

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	2026-05-18T00:12:49.042015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dd2de0a6279d0bf18b782822df46b1c70db85f0cffac25aff3eb79cfb4ad825

Aliases

arxiv: 1611.06178 · arxiv_version: 1611.06178v2 · doi: 10.48550/arxiv.1611.06178 · pith_short_12: NXJN4CTCPHIL · pith_short_16: NXJN4CTCPHIL6GFX · pith_short_8: NXJN4CTC

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/NXJN4CTCPHIL6GFXQKBC35DLDR \
  | 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: 6dd2de0a6279d0bf18b782822df46b1c70db85f0cffac25aff3eb79cfb4ad825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5f56d4eaeb125af8e00cf78f2fd6857f64568a7a9d305721ab47dfc7561529",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-18T17:57:22Z",
    "title_canon_sha256": "639394e63bf7f7f50fdeecd814b62048f5a63d659352f4f050d0c7e27c96d266"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06178",
    "kind": "arxiv",
    "version": 2
  }
}