Pith Number

pith:KQAGCU6V

pith:2021:KQAGCU6VVBFW75USTNLKNCZLHN

not attested not anchored not stored refs pending

On kinetic and macroscopic models for the stripe formation in engineered bacterial populations

Jiangyan Liang, Min Tang, Ning Jiang, Yaming Zhang, Yi-Long Luo

arxiv:2108.11196 v1 · 2021-08-25 · 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{KQAGCU6VVBFW75USTNLKNCZLHN}

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	2026-07-05T03:08:50.428498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54006153d5a84b6ff6929b56a68b2b3b7c2d0842c2ecdd012b478bd43c1c94d8

Aliases

arxiv: 2108.11196 · arxiv_version: 2108.11196v1 · doi: 10.48550/arxiv.2108.11196 · pith_short_12: KQAGCU6VVBFW · pith_short_16: KQAGCU6VVBFW75US · pith_short_8: KQAGCU6V

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/KQAGCU6VVBFW75USTNLKNCZLHN \
  | 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: 54006153d5a84b6ff6929b56a68b2b3b7c2d0842c2ecdd012b478bd43c1c94d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "861e6bb9891cf4aff2c1f238bdb44755509762f6b229e744cb4682079fba8c68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-25T12:03:35Z",
    "title_canon_sha256": "2d249c68d69b3e4dce0eec0c64a90f8ce981615bea688fe9127965db5e95252e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.11196",
    "kind": "arxiv",
    "version": 1
  }
}