Pith Number

pith:ZNE2YHD5

pith:2008:ZNE2YHD5G3FKJMT63FGIAPS3LU

not attested not anchored not stored refs pending

Infinite rate mutually catalytic branching

Achim Klenke, Leonid Mytnik

arxiv:0809.4554 v2 · 2008-09-26 · 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{ZNE2YHD5G3FKJMT63FGIAPS3LU}

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	2026-05-18T04:39:08.286424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb49ac1c7d36caa4b27ed94c803e5b5d32d8be350c63c5713a252b700bee5f70

Aliases

arxiv: 0809.4554 · arxiv_version: 0809.4554v2 · doi: 10.48550/arxiv.0809.4554 · pith_short_12: ZNE2YHD5G3FK · pith_short_16: ZNE2YHD5G3FKJMT6 · pith_short_8: ZNE2YHD5

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/ZNE2YHD5G3FKJMT63FGIAPS3LU \
  | 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: cb49ac1c7d36caa4b27ed94c803e5b5d32d8be350c63c5713a252b700bee5f70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa929f148e1e2a35cb988f0519a27fe3239133ca5f8926baf37a3747115c6a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-09-26T08:03:12Z",
    "title_canon_sha256": "b44084ab7172ee605b7800253d59f3366f261c6e952f05b5a5ec79682391d370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4554",
    "kind": "arxiv",
    "version": 2
  }
}