Pith Number

pith:MRYFFNNG

pith:2019:MRYFFNNGE2XNUDALARQOE62ZGH

not attested not anchored not stored refs pending

Harmonic Analysis of Symmetric Random Graphs

Steffen Lauritzen

arxiv:1908.06456 v2 · 2019-08-18 · math.ST · math.PR · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRYFFNNGE2XNUDALARQOE62ZGH}

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	2026-07-05T01:25:35.048608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

647052b5a626aeda0c0b0460e27b5931c813fc81be1dad1205574cc3f67ce0df

Aliases

arxiv: 1908.06456 · arxiv_version: 1908.06456v2 · doi: 10.48550/arxiv.1908.06456 · pith_short_12: MRYFFNNGE2XN · pith_short_16: MRYFFNNGE2XNUDAL · pith_short_8: MRYFFNNG

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/MRYFFNNGE2XNUDALARQOE62ZGH \
  | 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: 647052b5a626aeda0c0b0460e27b5931c813fc81be1dad1205574cc3f67ce0df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2d92dc519e085848fc7462bf03d8ac5cdd592be0efd76f79dc3a37433b9f6e5",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2019-08-18T15:02:40Z",
    "title_canon_sha256": "7cb6f304aa9c6b833a1290ebc9109552bacdbafa93d58364d5f29ec6334dc28d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06456",
    "kind": "arxiv",
    "version": 2
  }
}