Pith Number

pith:P4RLAUMG

pith:2015:P4RLAUMGM5QHROAGLYU4AVZKHT

not attested not anchored not stored refs pending

Existence, Bifurcation, and Geometric Evolution of Quasi-Bilayers in the Multicomponent Functionalized Cahn-Hilliard Equation

Keith Promislow, Qiliang Wu

arxiv:1510.08467 v2 · 2015-10-28 · math.AP · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4RLAUMGM5QHROAGLYU4AVZKHT}

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	2026-05-18T01:24:03.089849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f22b05186676078b8065e29c0572a3cd94b9df78d696d8c207ce26928c9897e

Aliases

arxiv: 1510.08467 · arxiv_version: 1510.08467v2 · doi: 10.48550/arxiv.1510.08467 · pith_short_12: P4RLAUMGM5QH · pith_short_16: P4RLAUMGM5QHROAG · pith_short_8: P4RLAUMG

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/P4RLAUMGM5QHROAGLYU4AVZKHT \
  | 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: 7f22b05186676078b8065e29c0572a3cd94b9df78d696d8c207ce26928c9897e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1ffa519bd2ac4c5b5311d23d7184b337f6a53c34c3603cfbf0411d9e64925c",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-28T20:13:08Z",
    "title_canon_sha256": "46083fe8b0eec4b11a747cc860daa5af4c1b4f4c3701e0d4914cae2a06eb95b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08467",
    "kind": "arxiv",
    "version": 2
  }
}