Pith Number

pith:66PNUOOP

pith:2016:66PNUOOP2XYUNZSIDYC4B2SAP7

not attested not anchored not stored refs pending

Stability Analysis of Population Dynamics Model in Microbial Biofilms with Non-participating Strains

Jeet Banerjee, Ritwik Kumar Layek, Tanvi Ranjan

arxiv:1609.06107 v1 · 2016-09-20 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66PNUOOP2XYUNZSIDYC4B2SAP7}

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	2026-05-18T01:04:16.656705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f79eda39cfd5f146e6481e05c0ea407fc7eda66fb38974cec3d1873a246178d8

Aliases

arxiv: 1609.06107 · arxiv_version: 1609.06107v1 · doi: 10.48550/arxiv.1609.06107 · pith_short_12: 66PNUOOP2XYU · pith_short_16: 66PNUOOP2XYUNZSI · pith_short_8: 66PNUOOP

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/66PNUOOP2XYUNZSIDYC4B2SAP7 \
  | 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: f79eda39cfd5f146e6481e05c0ea407fc7eda66fb38974cec3d1873a246178d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "107f685b444eaf4f776d450f8eac22667764d20fde8bfaa3825be37c216e8bab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2016-09-20T11:24:02Z",
    "title_canon_sha256": "b0a73b1b6d1a58a019bda485fa4cf398649ff9318e108be1467ad47922199f05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06107",
    "kind": "arxiv",
    "version": 1
  }
}