Pith Number

pith:UI5PIBHH

pith:2012:UI5PIBHHHETGFLOVTJLDA6EYBD

not attested not anchored not stored refs pending

A Callias-type index theorem with degenerate potentials

Chris Kottke

arxiv:1210.3275 v5 · 2012-10-11 · math.DG · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UI5PIBHHHETGFLOVTJLDA6EYBD}

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	2026-05-18T00:26:18.719962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23af404e7392662add59a5630789808c5eba8b2507cc0045bb449a9ab8893f9

Aliases

arxiv: 1210.3275 · arxiv_version: 1210.3275v5 · doi: 10.48550/arxiv.1210.3275 · pith_short_12: UI5PIBHHHETG · pith_short_16: UI5PIBHHHETGFLOV · pith_short_8: UI5PIBHH

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/UI5PIBHHHETGFLOVTJLDA6EYBD \
  | 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: a23af404e7392662add59a5630789808c5eba8b2507cc0045bb449a9ab8893f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73b1fd0f3fb1f40f7d9620807bb891be8cafefe85f6c3fc2ffdd8e17766c9252",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-11T15:43:18Z",
    "title_canon_sha256": "c9a6beb438043fa0a099992d8968715f7b1a10f898828befecd1a6ff62eb0b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3275",
    "kind": "arxiv",
    "version": 5
  }
}