Pith Number

pith:VEXJKCVK

pith:2013:VEXJKCVKJWRUODMNTXZE7WRTWL

not attested not anchored not stored refs pending

Mean Evolutionary Dynamics for Stochastically Switching Environments

Andrew Vlasic, Dashiell Fryer, Marc Harper

arxiv:1306.2373 v1 · 2013-06-10 · math.DS · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEXJKCVKJWRUODMNTXZE7WRTWL}

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	2026-05-18T03:21:21.210677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a92e950aaa4da3470d8d9df24fda33b2f429edd3f3308ab1a103cfd15d0fa1c5

Aliases

arxiv: 1306.2373 · arxiv_version: 1306.2373v1 · doi: 10.48550/arxiv.1306.2373 · pith_short_12: VEXJKCVKJWRU · pith_short_16: VEXJKCVKJWRUODMN · pith_short_8: VEXJKCVK

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/VEXJKCVKJWRUODMNTXZE7WRTWL \
  | 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: a92e950aaa4da3470d8d9df24fda33b2f429edd3f3308ab1a103cfd15d0fa1c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4c821686e88f3573cf26e494224e2fe2e25b85170ee4b180f665a8d1e35b3e0",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-10T22:33:08Z",
    "title_canon_sha256": "178174670212e87f6cadd67e2e5921ba429ceec8088f8c94f7358875859c32e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2373",
    "kind": "arxiv",
    "version": 1
  }
}