Pith Number

pith:NJFKZZKT

pith:2017:NJFKZZKTIBCLFQPONSSTGIM5ZP

not attested not anchored not stored refs pending

Mathematical Modeling of Biofilm Development

Marek Niezg\'odka, Maria Gokieli, Nobuyuki Kenmochi

arxiv:1703.04420 v1 · 2017-03-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJFKZZKTIBCLFQPONSSTGIM5ZP}

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	2026-05-18T00:48:48.677331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4aace5534044b2c1ee6ca533219dcbf9d3ce2a23c0352561dd9d5cc6cc74a5

Aliases

arxiv: 1703.04420 · arxiv_version: 1703.04420v1 · doi: 10.48550/arxiv.1703.04420 · pith_short_12: NJFKZZKTIBCL · pith_short_16: NJFKZZKTIBCLFQPO · pith_short_8: NJFKZZKT

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/NJFKZZKTIBCLFQPONSSTGIM5ZP \
  | 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: 6a4aace5534044b2c1ee6ca533219dcbf9d3ce2a23c0352561dd9d5cc6cc74a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04fa9187c3ed397dc2d7ab73dc1aa14f27ce0b32354cbb1c46fcb76c8069d99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-13T14:39:42Z",
    "title_canon_sha256": "2eb6e6cfa6ed7917813872bce87bda09a8c41ba3277717fa715f3c53cdd95deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04420",
    "kind": "arxiv",
    "version": 1
  }
}