Pith Number

pith:26DGJRAN

pith:2015:26DGJRANHUYAEV7XKYAUQKG5IY

not attested not anchored not stored refs pending

Fundamentals of submersions and immersions between infinite-dimensional manifolds

Helge Glockner

arxiv:1502.05795 v4 · 2015-02-20 · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26DGJRANHUYAEV7XKYAUQKG5IY}

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	2026-05-18T01:02:57.089463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d78664c40d3d300257f756014828dd462b84a12974c8044e7256f0a7588ec297

Aliases

arxiv: 1502.05795 · arxiv_version: 1502.05795v4 · doi: 10.48550/arxiv.1502.05795 · pith_short_12: 26DGJRANHUYA · pith_short_16: 26DGJRANHUYAEV7X · pith_short_8: 26DGJRAN

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/26DGJRANHUYAEV7XKYAUQKG5IY \
  | 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: d78664c40d3d300257f756014828dd462b84a12974c8044e7256f0a7588ec297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1adf75b99cd575c15f495a26b8e9fdc91ce598f042eef04e14143e0d89021599",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-20T08:09:54Z",
    "title_canon_sha256": "a702e0ca1cc3ec1fa9b9a2ba0704e02e0a28f7867c54d97b5ea1a67be34e801e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05795",
    "kind": "arxiv",
    "version": 4
  }
}