Pith Number

pith:YFLQXQF4

pith:2012:YFLQXQF42QB5CJY7J6RTSBXOP5

not attested not anchored not stored refs pending

Resource dependent branching processes and the envelope of societies

F. Thomas Bruss, Mitia Duerinckx

arxiv:1212.0693 v4 · 2012-12-04 · 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{YFLQXQF42QB5CJY7J6RTSBXOP5}

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	2026-05-18T02:28:54.228417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1570bc0bcd403d1271f4fa33906ee7f58e849c83d802f505b0f4a6cb02c7b4c

Aliases

arxiv: 1212.0693 · arxiv_version: 1212.0693v4 · doi: 10.48550/arxiv.1212.0693 · pith_short_12: YFLQXQF42QB5 · pith_short_16: YFLQXQF42QB5CJY7 · pith_short_8: YFLQXQF4

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/YFLQXQF42QB5CJY7J6RTSBXOP5 \
  | 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: c1570bc0bcd403d1271f4fa33906ee7f58e849c83d802f505b0f4a6cb02c7b4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdddb911d4d931929b61f8c9b0f9271d45cc5fe43dbef2339db4fd1eace3344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-04T12:01:36Z",
    "title_canon_sha256": "bc814a03a2a331e7f7f8cd739f0d580a645c8a694c4bf7ddd144ecf9b07bab73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0693",
    "kind": "arxiv",
    "version": 4
  }
}