Pith Number

pith:F6I2FPXQ

pith:2012:F6I2FPXQNEWPIULGFZ7OK4DPAW

not attested not anchored not stored refs pending

Localization and delocalization for heavy tailed band matrices

Florent Benaych-Georges (MAP5), Sandrine P\'ech\'e (LPMA)

arxiv:1210.7677 v5 · 2012-10-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F6I2FPXQNEWPIULGFZ7OK4DPAW}

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	2026-05-18T01:39:55.490965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f91a2bef0692cf451662e7ee5706f05b795efb5eb7130481f5e281a8876d43e

Aliases

arxiv: 1210.7677 · arxiv_version: 1210.7677v5 · doi: 10.48550/arxiv.1210.7677 · pith_short_12: F6I2FPXQNEWP · pith_short_16: F6I2FPXQNEWPIULG · pith_short_8: F6I2FPXQ

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/F6I2FPXQNEWPIULGFZ7OK4DPAW \
  | 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: 2f91a2bef0692cf451662e7ee5706f05b795efb5eb7130481f5e281a8876d43e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0380e67dd2d36915b503d31a3242f022a24b06fcca12eba7034c76ada8727e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-29T14:32:28Z",
    "title_canon_sha256": "fb40eb1290016c8ce69d1674b767c47124ee66a1354506cba1c6f8b8db09991e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7677",
    "kind": "arxiv",
    "version": 5
  }
}