Pith Number

pith:AZQFYFKN

pith:2016:AZQFYFKNCM3PRZGVFMDJFJEVRM

not attested not anchored not stored refs pending

Gaussian fluctuations for edge counts in high-dimensional random geometric graphs

Christoph Thaele, Jens Grygierek

arxiv:1612.03286 v2 · 2016-12-10 · 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{AZQFYFKNCM3PRZGVFMDJFJEVRM}

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	2026-05-18T00:53:29.347145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06605c154d1336f8e4d52b0692a4958b3526d12e31dfb27be8b6921783df5500

Aliases

arxiv: 1612.03286 · arxiv_version: 1612.03286v2 · doi: 10.48550/arxiv.1612.03286 · pith_short_12: AZQFYFKNCM3P · pith_short_16: AZQFYFKNCM3PRZGV · pith_short_8: AZQFYFKN

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/AZQFYFKNCM3PRZGVFMDJFJEVRM \
  | 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: 06605c154d1336f8e4d52b0692a4958b3526d12e31dfb27be8b6921783df5500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b16fb2e291ce197bf36f299839e9bff33dd010e574519138ac16ad04029c595",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-10T12:45:53Z",
    "title_canon_sha256": "61dd1c8aa4826b71cadcbc6ced585e9853e616aa968bdb079b41b96aba66deb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03286",
    "kind": "arxiv",
    "version": 2
  }
}