Pith Number

pith:5R4TDOGI

pith:2025:5R4TDOGIB4XL5IKI5TGNSY2F7C

not attested not anchored not stored refs pending

A Unified Variational Framework for Planar Elastica with General Distributed Loads

Christopher Tropp, Yimu Mao

arxiv:2512.08958 v1 · 2025-11-28 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5R4TDOGIB4XL5IKI5TGNSY2F7C}

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	2026-05-28T01:05:11.108093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7931b8c80f2ebea148ecccd96345f89d8d11963e961d07dcfdd8926170f146

Aliases

arxiv: 2512.08958 · arxiv_version: 2512.08958v1 · doi: 10.48550/arxiv.2512.08958 · pith_short_12: 5R4TDOGIB4XL · pith_short_16: 5R4TDOGIB4XL5IKI · pith_short_8: 5R4TDOGI

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/5R4TDOGIB4XL5IKI5TGNSY2F7C \
  | 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: ec7931b8c80f2ebea148ecccd96345f89d8d11963e961d07dcfdd8926170f146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed5e3699df62c6c28eb4b498b06e67431ae367036db71fc87b397f3bd5d8baa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2025-11-28T11:56:26Z",
    "title_canon_sha256": "ada021471ed250339f2738a412a917d39f171617cc10f6cb3c99dc0c5dbbfef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.08958",
    "kind": "arxiv",
    "version": 1
  }
}