Pith Number

pith:H4RDHPQU

pith:2018:H4RDHPQUC3IUSRLMZS5AJXJCOU

not attested not anchored not stored refs pending

Emergence of extended states at zero in the spectrum of sparse random graphs

Justin Salez, Simon Coste

arxiv:1809.07587 v1 · 2018-09-20 · math.PR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4RDHPQUC3IUSRLMZS5AJXJCOU}

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	2026-05-18T00:05:15.818698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f2233be1416d149456cccba04dd22751aca9e309e4295da006a3e1ccd2bbe02

Aliases

arxiv: 1809.07587 · arxiv_version: 1809.07587v1 · doi: 10.48550/arxiv.1809.07587 · pith_short_12: H4RDHPQUC3IU · pith_short_16: H4RDHPQUC3IUSRLM · pith_short_8: H4RDHPQU

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/H4RDHPQUC3IUSRLMZS5AJXJCOU \
  | 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: 3f2233be1416d149456cccba04dd22751aca9e309e4295da006a3e1ccd2bbe02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644ebb6a7a4f8e596670d7e7e8817656a85a269412d534c2b08bf6a9433ad50c",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-20T12:16:14Z",
    "title_canon_sha256": "aa9f9e3bb9b80b04ae327d4d18bf40b130d4563b3c10c188d36b5b629566dcd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07587",
    "kind": "arxiv",
    "version": 1
  }
}