Pith Number

pith:7KI6LN23

pith:2017:7KI6LN23JAN7BXSN34QAZCIAVF

not attested not anchored not stored refs pending

Stochastic averaging for a spatial population model in random environment

Martin Friesen, Yuri Kondratiev

arxiv:1712.03413 v1 · 2017-12-09 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KI6LN23JAN7BXSN34QAZCIAVF}

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	2026-05-18T00:28:21.317585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa91e5b75b481bf0de4ddf200c8900a96bb8d992c96ca2ca82c62bf9b77316fb

Aliases

arxiv: 1712.03413 · arxiv_version: 1712.03413v1 · doi: 10.48550/arxiv.1712.03413 · pith_short_12: 7KI6LN23JAN7 · pith_short_16: 7KI6LN23JAN7BXSN · pith_short_8: 7KI6LN23

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/7KI6LN23JAN7BXSN34QAZCIAVF \
  | 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: fa91e5b75b481bf0de4ddf200c8900a96bb8d992c96ca2ca82c62bf9b77316fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98dff074996c9f59e5e87bd7a378e713b50889ac483b1e99b6474e7c5850c0f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-09T17:15:44Z",
    "title_canon_sha256": "33e25922b0332950046e79300fe823f9fb4b600ec866607f44421cf5ba035c5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03413",
    "kind": "arxiv",
    "version": 1
  }
}