Pith Number

pith:DWYG6YQD

pith:2017:DWYG6YQDOW4ZGGW3MB4XPMV62K

not attested not anchored not stored refs pending

Variational submanifolds of Euclidean spaces

Demeter Krupka, Jana Voln\'a, Zbyn\v{e}k Urban

arxiv:1709.07826 v2 · 2017-09-22 · math.DG · math.AP · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWYG6YQDOW4ZGGW3MB4XPMV62K}

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	2026-05-17T23:58:56.242194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1db06f620375b9931adb607977b2bed2920e78969c3211355d9d5b8de12aa41d

Aliases

arxiv: 1709.07826 · arxiv_version: 1709.07826v2 · doi: 10.48550/arxiv.1709.07826 · pith_short_12: DWYG6YQDOW4Z · pith_short_16: DWYG6YQDOW4ZGGW3 · pith_short_8: DWYG6YQD

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/DWYG6YQDOW4ZGGW3MB4XPMV62K \
  | 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: 1db06f620375b9931adb607977b2bed2920e78969c3211355d9d5b8de12aa41d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc924eef3731503b2baf7b68295390851fb82aa114f0bca2fd7efaf456d848f",
    "cross_cats_sorted": [
      "math.AP",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-22T16:06:20Z",
    "title_canon_sha256": "4c2051485245ec7670090447c91ba8e3a7a7b972e14da4ccd94ba9cc46f8285e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07826",
    "kind": "arxiv",
    "version": 2
  }
}