Pith Number

pith:7DP55HOV

pith:2014:7DP55HOVTVGVHHLSOYQU4V5P4V

not attested not anchored not stored refs pending

Expansion of the almost sure spectrum in the weak disorder regime

Denis Borisov, Francisco Hoecker-Escuti, Ivan Veseli\'c

arxiv:1408.2113 v2 · 2014-08-09 · 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{7DP55HOVTVGVHHLSOYQU4V5P4V}

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	2026-05-18T00:04:42.256999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8dfde9dd59d4d539d7276214e57afe558004d63cc6084996efd1527eaa1fc5b

Aliases

arxiv: 1408.2113 · arxiv_version: 1408.2113v2 · doi: 10.48550/arxiv.1408.2113 · pith_short_12: 7DP55HOVTVGV · pith_short_16: 7DP55HOVTVGVHHLS · pith_short_8: 7DP55HOV

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/7DP55HOVTVGVHHLSOYQU4V5P4V \
  | 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: f8dfde9dd59d4d539d7276214e57afe558004d63cc6084996efd1527eaa1fc5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82aa546b011ef752afdea08699cae75211c2d395528069a0e13e45276b31362d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-08-09T14:41:06Z",
    "title_canon_sha256": "5686fef7e9773d8b31fe1d1636c780aabe3e46db6e5eb6844de7e753e09e5f35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2113",
    "kind": "arxiv",
    "version": 2
  }
}