Pith Number

pith:FCHNGIN4

pith:2014:FCHNGIN4LVJTO572EHCUNSIRXW

not attested not anchored not stored refs pending

Range Expansion of Heterogeneous Populations

Erwin Frey, Matthias Reiter, Steffen Rulands

arxiv:1403.6333 v3 · 2014-03-25 · q-bio.PE · nlin.PS · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCHNGIN4LVJTO572EHCUNSIRXW}

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	2026-05-18T02:44:31.091657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288ed321bc5d533777fa21c546c911bd8cdd5c5bbb4cf11d6c8c19f75b11c6cb

Aliases

arxiv: 1403.6333 · arxiv_version: 1403.6333v3 · doi: 10.48550/arxiv.1403.6333 · pith_short_12: FCHNGIN4LVJT · pith_short_16: FCHNGIN4LVJTO572 · pith_short_8: FCHNGIN4

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/FCHNGIN4LVJTO572EHCUNSIRXW \
  | 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: 288ed321bc5d533777fa21c546c911bd8cdd5c5bbb4cf11d6c8c19f75b11c6cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c953b0e9f9163cad35c0136ec3c59891be8478cdb6b878ca48f54f1c3585ad4",
    "cross_cats_sorted": [
      "nlin.PS",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2014-03-25T13:16:07Z",
    "title_canon_sha256": "b0458b8084e9131f4bc964b36512241673c159a133bfa6cea8cff42a92d5d69f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6333",
    "kind": "arxiv",
    "version": 3
  }
}