Pith Number

pith:7RSJLK2W

pith:2026:7RSJLK2WN2FA4LQDEFV2TBZITG

not attested not anchored not stored refs pending

Small deformations of a near cylindrical tube for the Canham-Helfrich Energy with applications to biological membranes

Carsten Gr\"aser, Charles M. Elliott, Philip J. Herbert

arxiv:2606.06172 v1 · 2026-06-04 · 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{7RSJLK2WN2FA4LQDEFV2TBZITG}

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	2026-06-05T01:15:36.191512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc6495ab566e8a0e2e03216ba987289980fb75681d66edc7e08690ae5c8b5db1

Aliases

arxiv: 2606.06172 · arxiv_version: 2606.06172v1 · doi: 10.48550/arxiv.2606.06172 · pith_short_12: 7RSJLK2WN2FA · pith_short_16: 7RSJLK2WN2FA4LQD · pith_short_8: 7RSJLK2W

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/7RSJLK2WN2FA4LQDEFV2TBZITG \
  | 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: fc6495ab566e8a0e2e03216ba987289980fb75681d66edc7e08690ae5c8b5db1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90fc32e4b6b9274a20537ad3dfff7e10a41438f63dc7567aa690c38ad1e124aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-04T13:44:48Z",
    "title_canon_sha256": "1191390f14b70092d97b84fbe3ae61825dc3e37b42ec8832ec6ee26493516b4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06172",
    "kind": "arxiv",
    "version": 1
  }
}