Pith Number

pith:WXJ7JRYK

pith:2025:WXJ7JRYKS3CFXS233OXLOEGJMT

not attested not anchored not stored refs pending

Self-organization drives symmetry-breaking, scaling, and critical growth transitions in stem cell-derived organoids

Ajinkya Ghagre, Benjamin McMaster, Daniel Aguilar-Hidalgo, Divy Raval, Joel Ostblom, Jonathan Gui, M Mona Siu, Mukul Tewary, Nicolas Werschler, Peter W. Zandstra, Tiam Heydari

arxiv:2507.18887 v1 · 2025-07-25 · q-bio.TO · 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{WXJ7JRYKS3CFXS233OXLOEGJMT}

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	2026-07-05T11:43:15.503232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d3f4c70a96c45bcb5bdbaeb710c964d0f434a14bd578c93953161a7ac35c44

Aliases

arxiv: 2507.18887 · arxiv_version: 2507.18887v1 · doi: 10.48550/arxiv.2507.18887 · pith_short_12: WXJ7JRYKS3CF · pith_short_16: WXJ7JRYKS3CFXS23 · pith_short_8: WXJ7JRYK

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/WXJ7JRYKS3CFXS233OXLOEGJMT \
  | 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: b5d3f4c70a96c45bcb5bdbaeb710c964d0f434a14bd578c93953161a7ac35c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78a780a270259c92652bf6c2587f241eb90164f61c3ef305de190cd5ee84e8da",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2025-07-25T02:09:44Z",
    "title_canon_sha256": "2d2e1be977343a1ea911013df6b32bbe7847070c517d65b21ef59e044ce57c12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18887",
    "kind": "arxiv",
    "version": 1
  }
}