Pith Number

pith:HAUIII2E

pith:2015:HAUIII2E46ZX62G2ZJDLVPVWH3

not attested not anchored not stored refs pending

Concentration for Poisson U-Statistics: Subgraph Counts in Random Geometric Graphs

Matthias Reitzner, Sascha Bachmann

arxiv:1504.07404 v1 · 2015-04-28 · 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{HAUIII2E46ZX62G2ZJDLVPVWH3}

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	2026-05-18T02:17:34.818511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3828842344e7b37f68daca46babeb63edb418900d683b0a26779b2a03bbbec28

Aliases

arxiv: 1504.07404 · arxiv_version: 1504.07404v1 · doi: 10.48550/arxiv.1504.07404 · pith_short_12: HAUIII2E46ZX · pith_short_16: HAUIII2E46ZX62G2 · pith_short_8: HAUIII2E

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/HAUIII2E46ZX62G2ZJDLVPVWH3 \
  | 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: 3828842344e7b37f68daca46babeb63edb418900d683b0a26779b2a03bbbec28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c295d1b116e3af2311f2fef392388c86a7b34737cc038fa6f616b8361682a02b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-28T10:04:22Z",
    "title_canon_sha256": "929326d986cd36aaee848400f2264d9b30a2161cbe958e119bbf39745507c07a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07404",
    "kind": "arxiv",
    "version": 1
  }
}