Pith Number

pith:KLFI34YP

pith:2015:KLFI34YPRQXNZSTHOAL7CVXAF4

not attested not anchored not stored refs pending

The Callias Index Formula Revisited

Fritz Gesztesy, Marcus Waurick

arxiv:1506.05144 v2 · 2015-06-16 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KLFI34YPRQXNZSTHOAL7CVXAF4}

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	2026-05-18T01:22:48.363285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52ca8df30f8c2edcca677017f156e02f0f484a547bd122cf5dfd111d272c78d6

Aliases

arxiv: 1506.05144 · arxiv_version: 1506.05144v2 · doi: 10.48550/arxiv.1506.05144 · pith_short_12: KLFI34YPRQXN · pith_short_16: KLFI34YPRQXNZSTH · pith_short_8: KLFI34YP

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/KLFI34YPRQXNZSTHOAL7CVXAF4 \
  | 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: 52ca8df30f8c2edcca677017f156e02f0f484a547bd122cf5dfd111d272c78d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9a97ada71b1b60f972ae8901c1dd8fddb38c8c0e1f5cb9f57dbe6a58c40776",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-16T20:37:11Z",
    "title_canon_sha256": "d12fcec70d2550d8dbf5b2311cb7213c2c9e81e1a38a2b36b37e44295f359e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05144",
    "kind": "arxiv",
    "version": 2
  }
}