Pith Number

pith:4WZEWQS2

pith:2016:4WZEWQS24GH3RY5EQGXO3EQYXC

not attested not anchored not stored refs pending

Stochastic multi-scale models of competition within heterogeneous cellular populations: simulation methods and mean-field analysis

Fabian Spill, Pilar Guerrero, Roberto de la Cruz, Tom\'as Alarc\'on

arxiv:1607.01449 v1 · 2016-07-06 · physics.bio-ph · q-bio.CB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4WZEWQS24GH3RY5EQGXO3EQYXC}

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	2026-05-18T00:36:19.607781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5b24b425ae18fb8e3a481aeed9218b885aa81ad4370e7043e5bfd1eaf3a7dcb

Aliases

arxiv: 1607.01449 · arxiv_version: 1607.01449v1 · doi: 10.48550/arxiv.1607.01449 · pith_short_12: 4WZEWQS24GH3 · pith_short_16: 4WZEWQS24GH3RY5E · pith_short_8: 4WZEWQS2

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/4WZEWQS24GH3RY5EQGXO3EQYXC \
  | 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: e5b24b425ae18fb8e3a481aeed9218b885aa81ad4370e7043e5bfd1eaf3a7dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71d6591b23f5980268ae222efb2f7615d95249d4f76c437e9be810100a8a42c",
    "cross_cats_sorted": [
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2016-07-06T01:02:14Z",
    "title_canon_sha256": "405317b2b8b10d3b798c7a2fab4ee155c50c6a4a4a7f7582ac4682cbe26f0cf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01449",
    "kind": "arxiv",
    "version": 1
  }
}