Pith Number

pith:T3BBVHV6

pith:2018:T3BBVHV6PBZZRFXK7QQ5HOFJZN

not attested not anchored not stored refs pending

On a Model for Phase Separation on Biological Membranes and its Relation to the Ohta-Kawasaki Equation

Helmut Abels, Johannes Kampmann

arxiv:1810.06654 v2 · 2018-10-15 · 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{T3BBVHV6PBZZRFXK7QQ5HOFJZN}

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	2026-05-17T23:54:48.061375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ec21a9ebe78739896eafc21d3b8a9cb53a301224cba88cd7dee3e15ff4ca040

Aliases

arxiv: 1810.06654 · arxiv_version: 1810.06654v2 · doi: 10.48550/arxiv.1810.06654 · pith_short_12: T3BBVHV6PBZZ · pith_short_16: T3BBVHV6PBZZRFXK · pith_short_8: T3BBVHV6

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/T3BBVHV6PBZZRFXK7QQ5HOFJZN \
  | 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: 9ec21a9ebe78739896eafc21d3b8a9cb53a301224cba88cd7dee3e15ff4ca040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a781fe47d1b6bc4cb25239fa793ee30bea8b465778b8436f572028a2dd7458",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-15T20:01:00Z",
    "title_canon_sha256": "6850da3aa092744496d21e1acdc37cb8eb7ccc97c630f836594b4d9754468437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06654",
    "kind": "arxiv",
    "version": 2
  }
}