Pith Number

pith:LR7UBX6K

pith:2015:LR7UBX6KBPVPATCP5H4BYZWFZI

not attested not anchored not stored refs pending

Stochastic averaging for multiscale Markov processes with an application to a Wright-Fisher model with fluctuating selection

Clemens Printz, Martin Hutzenthaler, Peter Pfaffelhuber

arxiv:1504.01508 v2 · 2015-04-07 · 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{LR7UBX6KBPVPATCP5H4BYZWFZI}

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	2026-05-18T00:22:07.017539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c7f40dfca0beaf04c4fe9f81c66c5ca1109450f79193149df8db76196f74e8f

Aliases

arxiv: 1504.01508 · arxiv_version: 1504.01508v2 · doi: 10.48550/arxiv.1504.01508 · pith_short_12: LR7UBX6KBPVP · pith_short_16: LR7UBX6KBPVPATCP · pith_short_8: LR7UBX6K

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/LR7UBX6KBPVPATCP5H4BYZWFZI \
  | 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: 5c7f40dfca0beaf04c4fe9f81c66c5ca1109450f79193149df8db76196f74e8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b44bb67b66a1060a56f6c3f6c0a3cbc698fa7ae68dcb418e85eb9c34c318af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-07T07:56:01Z",
    "title_canon_sha256": "1b45d02ab4dd81049f1261a4ee409aa7511bdb2b723e0e1de491f94413e2dcdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01508",
    "kind": "arxiv",
    "version": 2
  }
}