Pith Number

pith:35ZFTZN4

pith:2011:35ZFTZN4BOQ3QU5ASPZGZUMTT7

not attested not anchored not stored refs pending

Accurate macroscale modelling of spatial dynamics in multiple dimensions

A. J. Roberts, J. E. Bunder, Tony MacKenzie

arxiv:1103.1187 v2 · 2011-03-07 · math.NA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35ZFTZN4BOQ3QU5ASPZGZUMTT7}

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	2026-05-18T04:04:30.075683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df7259e5bc0ba1b853a093f26cd1939fde0e193bcb14d869c8208826c656447d

Aliases

arxiv: 1103.1187 · arxiv_version: 1103.1187v2 · doi: 10.48550/arxiv.1103.1187 · pith_short_12: 35ZFTZN4BOQ3 · pith_short_16: 35ZFTZN4BOQ3QU5A · pith_short_8: 35ZFTZN4

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/35ZFTZN4BOQ3QU5ASPZGZUMTT7 \
  | 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: df7259e5bc0ba1b853a093f26cd1939fde0e193bcb14d869c8208826c656447d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c63d20ad561c5419bce39572c5858987193065b86512fc76b08b245f9a40448",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-03-07T02:49:44Z",
    "title_canon_sha256": "fda93fbc73daf7d0584e9bd29c7e813162305675e554fc55ca4da25c9301ce77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1187",
    "kind": "arxiv",
    "version": 2
  }
}