Pith Number

pith:AQVWPNVM

pith:2011:AQVWPNVMQHGQJ47IABG4OINWPV

not attested not anchored not stored refs pending

Diameters of random circulant graphs

Andreas Str\"ombergsson, Jens Marklof

arxiv:1103.3152 v2 · 2011-03-16 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQVWPNVMQHGQJ47IABG4OINWPV}

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	2026-05-18T04:25:04.414960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

042b67b6ac81cd04f3e8004dc721b67d5dde083cb04435d48ce01637e39913ed

Aliases

arxiv: 1103.3152 · arxiv_version: 1103.3152v2 · doi: 10.48550/arxiv.1103.3152 · pith_short_12: AQVWPNVMQHGQ · pith_short_16: AQVWPNVMQHGQJ47I · pith_short_8: AQVWPNVM

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/AQVWPNVMQHGQJ47IABG4OINWPV \
  | 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: 042b67b6ac81cd04f3e8004dc721b67d5dde083cb04435d48ce01637e39913ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb1bd2a95ee2efcc80eccaff9ff2653ca9279079a2809c636cc6e4f1c40b7286",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-16T11:59:01Z",
    "title_canon_sha256": "50223b22cf126af0f62335715a025f213226cbb36ef726443cbb5e540231e32c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3152",
    "kind": "arxiv",
    "version": 2
  }
}