Pith Number

pith:7HU2WT62

pith:2012:7HU2WT62AQMUT5DXQBOB7L542A

not attested not anchored not stored refs pending

Vacuum energy of Schr\"odinger operators on metric graphs

J. M. Harrison, K. Kirsten

arxiv:1201.3754 v1 · 2012-01-18 · math-ph · hep-th · 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{7HU2WT62AQMUT5DXQBOB7L542A}

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	2026-05-18T01:58:47.483150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9e9ab4fda041949f477805c1fafbcd03f968242284d9f4496ca12263c16cd53

Aliases

arxiv: 1201.3754 · arxiv_version: 1201.3754v1 · doi: 10.48550/arxiv.1201.3754 · pith_short_12: 7HU2WT62AQMU · pith_short_16: 7HU2WT62AQMUT5DX · pith_short_8: 7HU2WT62

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/7HU2WT62AQMUT5DXQBOB7L542A \
  | 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: f9e9ab4fda041949f477805c1fafbcd03f968242284d9f4496ca12263c16cd53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e2a4579225ad96dbd4aca5eacde3649cfafcbd8cf04dd2b38ec40d604c7f286",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-01-18T11:15:15Z",
    "title_canon_sha256": "98ba184f44f998af7b6cb6ba0973d11fef7be5c80c39acc6b0d05fffab57e732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3754",
    "kind": "arxiv",
    "version": 1
  }
}