Pith Number

pith:WBN5FNDN

pith:2012:WBN5FNDN75NVVQDMPHPFGEK3YD

not attested not anchored not stored refs pending

A 2D model for hydrodynamics and biology coupling applied to algae growth simulations

Anne-Celine Boulanger, Jacques Sainte-Marie, Marie-Odile Bristeau, Olivier Bernard

arxiv:1209.0487 v1 · 2012-09-03 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBN5FNDN75NVVQDMPHPFGEK3YD}

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	2026-05-18T03:46:18.011810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05bd2b46dff5b5ac06c79de53115bc0eb73b24368fa45ab8f2e69aff9f64079

Aliases

arxiv: 1209.0487 · arxiv_version: 1209.0487v1 · doi: 10.48550/arxiv.1209.0487 · pith_short_12: WBN5FNDN75NV · pith_short_16: WBN5FNDN75NVVQDM · pith_short_8: WBN5FNDN

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/WBN5FNDN75NVVQDMPHPFGEK3YD \
  | 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: b05bd2b46dff5b5ac06c79de53115bc0eb73b24368fa45ab8f2e69aff9f64079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6afa816d5303b75ab6f186faed0fc0028fce4d4d86f65b1d76e399a8a3269418",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-03T21:32:43Z",
    "title_canon_sha256": "f5a3ad49c8dabbfb3085e65f31ae68d7c86c77dc9d85652d2096c0404849ac80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0487",
    "kind": "arxiv",
    "version": 1
  }
}