Pith Number

pith:E34HIFAV

pith:2015:E34HIFAVZI5DW2EMTTVL34E5I5

not attested not anchored not stored refs pending

Unbounded containment in the energy space of a network and the Krein extension of the energy Laplacian

Erin P. J. Pearse, Palle E. T. Jorgensen

arxiv:1504.01332 v2 · 2015-04-06 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E34HIFAVZI5DW2EMTTVL34E5I5}

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	2026-05-18T01:37:03.699536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f8741415ca3a3b688c9ceabdf09d47615a1b97a166e2dc5dffc1b78a5e8fae

Aliases

arxiv: 1504.01332 · arxiv_version: 1504.01332v2 · doi: 10.48550/arxiv.1504.01332 · pith_short_12: E34HIFAVZI5D · pith_short_16: E34HIFAVZI5DW2EM · pith_short_8: E34HIFAV

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/E34HIFAVZI5DW2EMTTVL34E5I5 \
  | 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: 26f8741415ca3a3b688c9ceabdf09d47615a1b97a166e2dc5dffc1b78a5e8fae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4870b7c8ef1fa131f315521a272e46b1fabc1130c0931c4a6492fa137c711d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-04-06T17:42:21Z",
    "title_canon_sha256": "2932b6a054a1b66d31fdf29693c4476f813552bcb1adc7c8829728df57ba16f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01332",
    "kind": "arxiv",
    "version": 2
  }
}