Pith Number

pith:VUK7KWS5

pith:2014:VUK7KWS5WRIIB7PD7FJW7R3QF2

not attested not anchored not stored refs pending

The index theory on non-compact manifolds with proper group action

Maxim Braverman

arxiv:1403.7587 v3 · 2014-03-29 · 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{VUK7KWS5WRIIB7PD7FJW7R3QF2}

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	2026-05-18T01:25:03.735466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad15f55a5db45080fde3f9536fc7702ea0c63d734e371418d097e58d958f0a84

Aliases

arxiv: 1403.7587 · arxiv_version: 1403.7587v3 · doi: 10.48550/arxiv.1403.7587 · pith_short_12: VUK7KWS5WRII · pith_short_16: VUK7KWS5WRIIB7PD · pith_short_8: VUK7KWS5

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/VUK7KWS5WRIIB7PD7FJW7R3QF2 \
  | 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: ad15f55a5db45080fde3f9536fc7702ea0c63d734e371418d097e58d958f0a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aaaceb56afa4d7b68190276199e665347dffb754447b293b1ef05fdf3e0bef77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-03-29T03:42:37Z",
    "title_canon_sha256": "5e234fddfe2211ab5473463d40dff096d55c77dacf3e9cd9250be1d9a7c30c3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7587",
    "kind": "arxiv",
    "version": 3
  }
}