Pith Number

pith:3X5AABQF

pith:2014:3X5AABQFAUUAVWLF3RCDQKOBYG

not attested not anchored not stored refs pending

The Geometry of Loop Spaces I: $H^s$-Riemannian Metrics

Fabi\'an Torres-Ardila, Steven Rosenberg, Yoshiaki Maeda

arxiv:1405.4231 v1 · 2014-05-16 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3X5AABQFAUUAVWLF3RCDQKOBYG}

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	2026-05-18T02:51:42.882741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddfa00060505280ad965dc443829c1c18a300a5cc3a5ff0e9fadd6dcd9b01705

Aliases

arxiv: 1405.4231 · arxiv_version: 1405.4231v1 · doi: 10.48550/arxiv.1405.4231 · pith_short_12: 3X5AABQFAUUA · pith_short_16: 3X5AABQFAUUAVWLF · pith_short_8: 3X5AABQF

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/3X5AABQFAUUAVWLF3RCDQKOBYG \
  | 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: ddfa00060505280ad965dc443829c1c18a300a5cc3a5ff0e9fadd6dcd9b01705

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b1a859c9d12c69f1c1445d1604d627985a90dbdd8ecf8af05a28ece213a685d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-16T16:30:08Z",
    "title_canon_sha256": "88c29d9c4e6a93a78ec5d46b3f3ded827f838a1d9eb0595ee4c05bef9fb56ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4231",
    "kind": "arxiv",
    "version": 1
  }
}