Pith Number

pith:JJMCEKHZ

pith:2015:JJMCEKHZ3DW7WQC4ELAYFHIKDB

not attested not anchored not stored refs pending

Symmetry-Breaking Global Bifurcation in a Surface Continuum Phase-Field Model for Lipid Bilayer Vesicles

Sanjay Dharmavaram, Timothy J. Healey

arxiv:1509.05074 v1 · 2015-09-16 · 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{JJMCEKHZ3DW7WQC4ELAYFHIKDB}

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	2026-05-18T01:32:49.968707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a582228f9d8edfb405c22c1829d0a185f5076074071f0555042de13f6a9c340

Aliases

arxiv: 1509.05074 · arxiv_version: 1509.05074v1 · doi: 10.48550/arxiv.1509.05074 · pith_short_12: JJMCEKHZ3DW7 · pith_short_16: JJMCEKHZ3DW7WQC4 · pith_short_8: JJMCEKHZ

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/JJMCEKHZ3DW7WQC4ELAYFHIKDB \
  | 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: 4a582228f9d8edfb405c22c1829d0a185f5076074071f0555042de13f6a9c340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff0750da793ccfe4bd9073cfa308aa68b96be5c89772ecde510665801167e10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-16T22:20:25Z",
    "title_canon_sha256": "b327aa86ba19367928e63be9a6d868db35539ec2cfa940c9dfeffe4af44db706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05074",
    "kind": "arxiv",
    "version": 1
  }
}