Pith Number

pith:VTRVLE57

pith:2017:VTRVLE575W6NKK7OG2SDHPPXEF

not attested not anchored not stored refs pending

Singularities of the density of states of random Gram matrices

Johannes Alt

arxiv:1708.08442 v2 · 2017-08-28 · math.PR · 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{VTRVLE575W6NKK7OG2SDHPPXEF}

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	2026-05-18T00:30:00.313939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace35593bfedbcd52bee36a433bdf7215b430a609eb92d571617183a40fdcb1f

Aliases

arxiv: 1708.08442 · arxiv_version: 1708.08442v2 · doi: 10.48550/arxiv.1708.08442 · pith_short_12: VTRVLE575W6N · pith_short_16: VTRVLE575W6NKK7O · pith_short_8: VTRVLE57

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/VTRVLE575W6NKK7OG2SDHPPXEF \
  | 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: ace35593bfedbcd52bee36a433bdf7215b430a609eb92d571617183a40fdcb1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2638d8d49b662ff7c9d7ba23d5a43317c83eb2133daef7253db913589e6bccbb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-28T17:51:30Z",
    "title_canon_sha256": "b580c00da9dbb5200eea2cddd843466889e7fa3315b10a2ae7c7ec9487623559"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08442",
    "kind": "arxiv",
    "version": 2
  }
}