Pith Number

pith:5PDRKEUI

pith:2010:5PDRKEUIZMNI2JZN5HGEUEYTPS

not attested not anchored not stored refs pending

Invariant tubular neighborhoods in infinite-dimensional Riemannian geometry, with applications to Yang-Mills theory

Daniel A. Ramras

arxiv:1006.0063 v3 · 2010-06-01 · math.DG · math.AT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PDRKEUIZMNI2JZN5HGEUEYTPS}

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	2026-05-18T00:16:39.381958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc7151288cb1a8d272de9cc4a13137cb9192c8086bf6118ad9a7a84f7f1bda7

Aliases

arxiv: 1006.0063 · arxiv_version: 1006.0063v3 · doi: 10.48550/arxiv.1006.0063 · pith_short_12: 5PDRKEUIZMNI · pith_short_16: 5PDRKEUIZMNI2JZN · pith_short_8: 5PDRKEUI

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/5PDRKEUIZMNI2JZN5HGEUEYTPS \
  | 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: ebc7151288cb1a8d272de9cc4a13137cb9192c8086bf6118ad9a7a84f7f1bda7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ce083979727aebdc713b8ca844e265d491027a978a322f7476ee2aecc215be",
    "cross_cats_sorted": [
      "math.AT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-06-01T06:31:33Z",
    "title_canon_sha256": "d52a3a5f6debf04dbb4afb0cc5fa8b09ae6d43082704fbdff8885d4c386a179e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0063",
    "kind": "arxiv",
    "version": 3
  }
}