Pith Number

pith:RHDAKIAH

pith:2015:RHDAKIAHDPNBWPAWYWRWI5XL26

not attested not anchored not stored refs pending

Refracted Continuous-State Branching Processes: Self-regulating populations

Antonio Murillo-Salas, Arno Siri-J\'egousse, Jos\'e Luis P\'erez

arxiv:1511.03972 v4 · 2015-11-12 · 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{RHDAKIAHDPNBWPAWYWRWI5XL26}

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	2026-05-18T00:56:12.383384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c60520071bda1b3c16c5a36476ebd7b359fafe01e287bd9102b523c88f8a67

Aliases

arxiv: 1511.03972 · arxiv_version: 1511.03972v4 · doi: 10.48550/arxiv.1511.03972 · pith_short_12: RHDAKIAHDPNB · pith_short_16: RHDAKIAHDPNBWPAW · pith_short_8: RHDAKIAH

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/RHDAKIAHDPNBWPAWYWRWI5XL26 \
  | 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: 89c60520071bda1b3c16c5a36476ebd7b359fafe01e287bd9102b523c88f8a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f394b04a05fe2180c43f0732cca76d4ef1ade50cb1ff50710fd9861c66059da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-12T17:14:08Z",
    "title_canon_sha256": "2b3609410baf0c0d088dc7fa9d880d876475ee8cfd1f09dce9406b31565cbbab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03972",
    "kind": "arxiv",
    "version": 4
  }
}