Pith Number

pith:E4HEYIPS

pith:2011:E4HEYIPSMMVIW2A5PZLMZACZGE

not attested not anchored not stored refs pending

Proof of the Completeness of Darboux Wronskian Formulae for Order Two

Ekaterina Shemyakova

arxiv:1111.1338 v5 · 2011-11-05 · math.AP · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4HEYIPSMMVIW2A5PZLMZACZGE}

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	2026-05-18T03:27:23.269161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270e4c21f2632a8b681d7e56cc8059313dc74048b6955bbb7dd67d2a0aa9075c

Aliases

arxiv: 1111.1338 · arxiv_version: 1111.1338v5 · doi: 10.48550/arxiv.1111.1338 · pith_short_12: E4HEYIPSMMVI · pith_short_16: E4HEYIPSMMVIW2A5 · pith_short_8: E4HEYIPS

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/E4HEYIPSMMVIW2A5PZLMZACZGE \
  | 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: 270e4c21f2632a8b681d7e56cc8059313dc74048b6955bbb7dd67d2a0aa9075c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "774d1010a5d483c45e64021a6bdb26e8999a53985f4f33e4afbcb72c3a8a553f",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-05T18:36:18Z",
    "title_canon_sha256": "d4862943a7013ad7f1edebc2d8231e81880b8351f7c78902e6e6dcd59b80271d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1338",
    "kind": "arxiv",
    "version": 5
  }
}