Pith Number

pith:HHJTXIJ3

pith:2009:HHJTXIJ35SD2VX7DV4NVLLEWCF

not attested not anchored not stored refs pending

On semiclassical and universal inequalities for eigenvalues of quantum graphs

Evans M. Harrell II, Semra Demirel

arxiv:0911.1896 v1 · 2009-11-10 · math.SP · 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{HHJTXIJ35SD2VX7DV4NVLLEWCF}

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	2026-05-18T02:10:49.168443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d33ba13bec87aadfe3af1b55ac961173bbaa2a7dd303987e23b6e52f42c53e

Aliases

arxiv: 0911.1896 · arxiv_version: 0911.1896v1 · doi: 10.48550/arxiv.0911.1896 · pith_short_12: HHJTXIJ35SD2 · pith_short_16: HHJTXIJ35SD2VX7D · pith_short_8: HHJTXIJ3

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/HHJTXIJ35SD2VX7DV4NVLLEWCF \
  | 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: 39d33ba13bec87aadfe3af1b55ac961173bbaa2a7dd303987e23b6e52f42c53e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da7b139b1577d3e32a540ed2645bb8a692bfca9fadeef5fff7cef43518f42600",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2009-11-10T12:25:56Z",
    "title_canon_sha256": "e6852a6c28c2d48930d0af935e8739f10a0e6cfddc52cb9d9ca3d13c75d64819"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1896",
    "kind": "arxiv",
    "version": 1
  }
}