Pith Number

pith:PDOL44OG

pith:2018:PDOL44OGOE7G4OFFDZ7ZAI52XN

not attested not anchored not stored refs pending

Lattice and Continuum Models Analysis of the Aggregation Diffusion Cell Movement

Lianzhang Bao, Zhengfang Zhou

arxiv:1812.11674 v1 · 2018-12-31 · math.AP · 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{PDOL44OGOE7G4OFFDZ7ZAI52XN}

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	2026-05-17T23:57:11.377519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78dcbe71c6713e6e38a51e7f9023babb4d5599334147d80127e07b74015ae196

Aliases

arxiv: 1812.11674 · arxiv_version: 1812.11674v1 · doi: 10.48550/arxiv.1812.11674 · pith_short_12: PDOL44OGOE7G · pith_short_16: PDOL44OGOE7G4OFF · pith_short_8: PDOL44OG

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/PDOL44OGOE7G4OFFDZ7ZAI52XN \
  | 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: 78dcbe71c6713e6e38a51e7f9023babb4d5599334147d80127e07b74015ae196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01efc49434a8b82993cf2c5cc2c9d2f42215019cf9d6e85c391272dfc894a0f5",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-31T02:18:41Z",
    "title_canon_sha256": "d7350fe4c9cbebf7ebd59de1af9683b91d67641b4d91a65d3c89e7954348843f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11674",
    "kind": "arxiv",
    "version": 1
  }
}