Pith Number

pith:Q4Q2KTJ6

pith:2015:Q4Q2KTJ6UIPQM4RJ5PBL6W53WC

not attested not anchored not stored refs pending

Role of spatial averaging in multicellular gradient sensing

Andre Levchenko, Andrew Mugler, Ilya Nemenman, Sean Fancher, Tyler Smith

arxiv:1512.08328 v1 · 2015-12-28 · q-bio.MN · 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{Q4Q2KTJ6UIPQM4RJ5PBL6W53WC}

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	2026-05-18T01:12:05.522748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8721a54d3ea21f067229ebc2bf5bbbb09107702d6bb17e0f0d932b74ac4bee07

Aliases

arxiv: 1512.08328 · arxiv_version: 1512.08328v1 · doi: 10.48550/arxiv.1512.08328 · pith_short_12: Q4Q2KTJ6UIPQ · pith_short_16: Q4Q2KTJ6UIPQM4RJ · pith_short_8: Q4Q2KTJ6

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/Q4Q2KTJ6UIPQM4RJ5PBL6W53WC \
  | 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: 8721a54d3ea21f067229ebc2bf5bbbb09107702d6bb17e0f0d932b74ac4bee07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b53a22fbefdef2d36189b3b8edf0f2691866fc064927ef58d27d286ad8cbe613",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2015-12-28T07:01:56Z",
    "title_canon_sha256": "5c581d248123d133bed6cfd424e3b017b65f9705c7155ac1dfa21b437de44d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08328",
    "kind": "arxiv",
    "version": 1
  }
}