Pith Number

pith:7PTZNL6O

pith:2014:7PTZNL6O2XMMK2KCLDHCQ4YH7T

not attested not anchored not stored refs pending

Canonical variational completion of differential equations

Demeter Krupka, Nicoleta Voicu

arxiv:1406.6646 v2 · 2014-06-25 · math-ph · 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{7PTZNL6O2XMMK2KCLDHCQ4YH7T}

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	2026-05-18T02:18:22.005595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe796afced5d8c5694258ce287307fce8662fbfd73af36f93cf7bc8959a6e24

Aliases

arxiv: 1406.6646 · arxiv_version: 1406.6646v2 · doi: 10.48550/arxiv.1406.6646 · pith_short_12: 7PTZNL6O2XMM · pith_short_16: 7PTZNL6O2XMMK2KC · pith_short_8: 7PTZNL6O

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/7PTZNL6O2XMMK2KCLDHCQ4YH7T \
  | 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: fbe796afced5d8c5694258ce287307fce8662fbfd73af36f93cf7bc8959a6e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f6c100e2a68e2d0ed78f469d5327d595821b87c97ed6f74a16aca8b940e2c3",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-06-25T17:19:12Z",
    "title_canon_sha256": "5f85641b1b48a211d582eda305b916f68f0151c88eaf979e82b41a0b1b1a073e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6646",
    "kind": "arxiv",
    "version": 2
  }
}