Pith Number

pith:WMIXTRNM

pith:2021:WMIXTRNMPRHUB3VIP3RYEAPWE7

not attested not anchored not stored refs pending

Biofilm self-patterning: mechanical forces drive a reorientation cascade

Changhao Li, Haoran Lu, Japinder Nijjer, Jing Yan, Qiuting Zhang, Sulin Zhang

arxiv:2104.08380 v3 · 2021-04-16 · cond-mat.soft · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMIXTRNMPRHUB3VIP3RYEAPWE7}

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	2026-07-05T02:48:37.044528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b31179c5ac7c4f40eea87ee38201f627ea4861e257fb206a311e30c87f20e086

Aliases

arxiv: 2104.08380 · arxiv_version: 2104.08380v3 · doi: 10.48550/arxiv.2104.08380 · pith_short_12: WMIXTRNMPRHU · pith_short_16: WMIXTRNMPRHUB3VI · pith_short_8: WMIXTRNM

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/WMIXTRNMPRHUB3VIP3RYEAPWE7 \
  | 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: b31179c5ac7c4f40eea87ee38201f627ea4861e257fb206a311e30c87f20e086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f47ac389db013babae0ce211a453d282d191235e9fffb90083fdfe98ea8f02b8",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2021-04-16T21:31:39Z",
    "title_canon_sha256": "7f9c761714fb4acfac968ddca6b42c121563587c64da54ad4135063420e50396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08380",
    "kind": "arxiv",
    "version": 3
  }
}