Pith Number

pith:AGFNZ4JA

pith:2015:AGFNZ4JAG4UUUCEZPMDJYGI3EH

not attested not anchored not stored refs pending

On the Number of Bound States of Point Interactions on Hyperbolic Manifolds

Fatih Erman

arxiv:1511.07670 v4 · 2015-11-24 · math-ph · 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{AGFNZ4JAG4UUUCEZPMDJYGI3EH}

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	2026-05-18T00:50:13.778692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

018adcf12037294a08997b069c191b21f375cf760f69b50120204858f08d57f2

Aliases

arxiv: 1511.07670 · arxiv_version: 1511.07670v4 · doi: 10.48550/arxiv.1511.07670 · pith_short_12: AGFNZ4JAG4UU · pith_short_16: AGFNZ4JAG4UUUCEZ · pith_short_8: AGFNZ4JA

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/AGFNZ4JAG4UUUCEZPMDJYGI3EH \
  | 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: 018adcf12037294a08997b069c191b21f375cf760f69b50120204858f08d57f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5c7e4da8f3cce6f2baa786c018d96ec1419c0aab7d02c0e2cae893a74d25d90",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-24T12:15:30Z",
    "title_canon_sha256": "6584a7480c531f78efe4e235320d2f54aa3ac6e574191381567d512aed6a0097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07670",
    "kind": "arxiv",
    "version": 4
  }
}