Pith Number

pith:GHSL25PZ

pith:2016:GHSL25PZVU2JAH6CL4QLIZI5GE

not attested not anchored not stored refs pending

On the almost eigenvectors of random regular graphs

Agnes Backhausz, Balazs Szegedy

arxiv:1607.04785 v1 · 2016-07-16 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHSL25PZVU2JAH6CL4QLIZI5GE}

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	2026-05-18T01:10:56.671398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31e4bd75f9ad34901fc25f20b4651d3107dba6fa4f19c1ac6b7921724c548986

Aliases

arxiv: 1607.04785 · arxiv_version: 1607.04785v1 · doi: 10.48550/arxiv.1607.04785 · pith_short_12: GHSL25PZVU2J · pith_short_16: GHSL25PZVU2JAH6C · pith_short_8: GHSL25PZ

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/GHSL25PZVU2JAH6CL4QLIZI5GE \
  | 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: 31e4bd75f9ad34901fc25f20b4651d3107dba6fa4f19c1ac6b7921724c548986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e0336f14c88e4097cdf4ab5823812f44d2fcf868c580d845e3039fc779a9f0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-16T18:47:39Z",
    "title_canon_sha256": "1ecf4603a352560c577210091271fbf977f3f1b8d10e576c6c76c0700bd699e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04785",
    "kind": "arxiv",
    "version": 1
  }
}