Pith Number

pith:ITM2E5IA

pith:2015:ITM2E5IAHJLTGUEBYMNPKIN3QT

not attested not anchored not stored refs pending

A Variational Approach to Particles in Lipid Membranes

Carsten Gr\"aser, Charles M. Elliott, Graham Hobbs, Maren-Wanda Wolf, Ralf Kornhuber

arxiv:1512.02375 v2 · 2015-12-08 · 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{ITM2E5IAHJLTGUEBYMNPKIN3QT}

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	2026-05-18T01:11:45.294852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d9a275003a57335081c31af521bb84c3334c02141c0422f2834f799b18b973

Aliases

arxiv: 1512.02375 · arxiv_version: 1512.02375v2 · doi: 10.48550/arxiv.1512.02375 · pith_short_12: ITM2E5IAHJLT · pith_short_16: ITM2E5IAHJLTGUEB · pith_short_8: ITM2E5IA

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/ITM2E5IAHJLTGUEBYMNPKIN3QT \
  | 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: 44d9a275003a57335081c31af521bb84c3334c02141c0422f2834f799b18b973

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1f3e14d87f846b2950b3e1699d25bcb13ed7a1dab460e204952cbb398e67424",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-08T09:18:43Z",
    "title_canon_sha256": "eb2c497f3b8e3c432a3ffb467937085ccd4caf00191c37fefb02e728b0f71d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02375",
    "kind": "arxiv",
    "version": 2
  }
}