Pith Number

pith:KXD3NCK5

pith:2012:KXD3NCK5DUBJTMPQR63DYIGXOG

not attested not anchored not stored refs pending

Critical branching Brownian motion with absorption: survival probability

Jason Schweinsberg, Julien Berestycki, Nathanael Berestycki

arxiv:1212.3821 v2 · 2012-12-16 · 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{KXD3NCK5DUBJTMPQR63DYIGXOG}

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	2026-05-18T03:38:13.659720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c7b6895d1d0299b1f08fb63c20d77193dafcc5d76e87e23407ea91b4c2f8a0

Aliases

arxiv: 1212.3821 · arxiv_version: 1212.3821v2 · doi: 10.48550/arxiv.1212.3821 · pith_short_12: KXD3NCK5DUBJ · pith_short_16: KXD3NCK5DUBJTMPQ · pith_short_8: KXD3NCK5

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/KXD3NCK5DUBJTMPQR63DYIGXOG \
  | 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: 55c7b6895d1d0299b1f08fb63c20d77193dafcc5d76e87e23407ea91b4c2f8a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada9d1bffe93e2141435a66da51611e9e0814603a515c158766714ae676b788d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-16T19:34:32Z",
    "title_canon_sha256": "a920e62f3a2bb08581735e8a9ec94e1df3c177e5f8e4180000aa37279158b13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3821",
    "kind": "arxiv",
    "version": 2
  }
}