Pith Number

pith:FF7Z36MR

pith:2010:FF7Z36MR76TDCSAQGIUREQURT6

not attested not anchored not stored refs pending

On bilinear forms based on the resolvent of large random matrices

Jamal Najim (LTCI), Pascal Vallet (IGM), Philippe Loubaton (LIGM), Walid Hachem (LTCI)

arxiv:1004.3848 v2 · 2010-04-22 · 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{FF7Z36MR76TDCSAQGIUREQURT6}

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	2026-05-18T04:14:55.212058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297f9df991ffa631481032291242919f90e02efe150b2dfc657a0fb7961e39a6

Aliases

arxiv: 1004.3848 · arxiv_version: 1004.3848v2 · doi: 10.48550/arxiv.1004.3848 · pith_short_12: FF7Z36MR76TD · pith_short_16: FF7Z36MR76TDCSAQ · pith_short_8: FF7Z36MR

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/FF7Z36MR76TDCSAQGIUREQURT6 \
  | 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: 297f9df991ffa631481032291242919f90e02efe150b2dfc657a0fb7961e39a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5e1adc0fd68b22abf31eecf39776f9fddb8d0d097eca2c220165002cb570f57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-22T07:02:41Z",
    "title_canon_sha256": "7a9c0af11c009ba38d3f7b7ea4dadb644071277615af10d8862955ec7483c903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3848",
    "kind": "arxiv",
    "version": 2
  }
}