Pith Number

pith:EH5W4NN3

pith:2016:EH5W4NN3R6WFO54AWFSIQWKL6N

not attested not anchored not stored refs pending

Asymptotic metric behavior of random Cayley graphs of finite abelian groups

Reut Zuck, Uri Shapira

arxiv:1607.05022 v3 · 2016-07-18 · math.DS · math.CO · 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{EH5W4NN3R6WFO54AWFSIQWKL6N}

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	2026-05-18T00:42:35.196019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21fb6e35bb8fac577780b16488594bf3666ef3603999e38347440dc540279f80

Aliases

arxiv: 1607.05022 · arxiv_version: 1607.05022v3 · doi: 10.48550/arxiv.1607.05022 · pith_short_12: EH5W4NN3R6WF · pith_short_16: EH5W4NN3R6WFO54A · pith_short_8: EH5W4NN3

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/EH5W4NN3R6WFO54AWFSIQWKL6N \
  | 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: 21fb6e35bb8fac577780b16488594bf3666ef3603999e38347440dc540279f80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b511b96664fa48d975fd338c6438ac0d60ef4e099daa162f84cb38e9521647",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-07-18T11:27:50Z",
    "title_canon_sha256": "71fa961479678c1f21a53d077cc4874e4ac27864b9ea76c656f44426babe0369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05022",
    "kind": "arxiv",
    "version": 3
  }
}