Pith Number

pith:WCQIU3ZF

pith:2021:WCQIU3ZFZGSPA2NSOXUTFMBGDS

not attested not anchored not stored refs pending

Slow expanders invade by forming dented fronts in microbial colonies

Hyunseok Lee, Jeff Gore, Kirill S. Korolev

arxiv:2108.04008 v1 · 2021-08-09 · q-bio.PE · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCQIU3ZFZGSPA2NSOXUTFMBGDS}

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	2026-07-05T04:24:11.913787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a08a6f25c9a4f069b275e932b0261c9deeb0737d438806046fd967d517f593

Aliases

arxiv: 2108.04008 · arxiv_version: 2108.04008v1 · doi: 10.48550/arxiv.2108.04008 · pith_short_12: WCQIU3ZFZGSP · pith_short_16: WCQIU3ZFZGSPA2NS · pith_short_8: WCQIU3ZF

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/WCQIU3ZFZGSPA2NSOXUTFMBGDS \
  | 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: b0a08a6f25c9a4f069b275e932b0261c9deeb0737d438806046fd967d517f593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3dd9873d91befa00976379911ad73d05cb1682c319c3ef94954e78907981d17",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2021-08-09T13:00:58Z",
    "title_canon_sha256": "0afce4d8dae0f8a429b0f811dbba46513af8c7eec6e96edea033463673a0f368"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.04008",
    "kind": "arxiv",
    "version": 1
  }
}