Pith Number

pith:JPYPLXX4

pith:2023:JPYPLXX4LSMWIGHTCQCFFPXNMG

not attested not anchored not stored refs pending

Alon-Boppana-type bounds for weighted graphs

Alexandr Polyanskii, Rinat Sadykov

arxiv:2305.07560 v1 · 2023-05-12 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPYPLXX4LSMWIGHTCQCFFPXNMG}

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	2026-06-11T01:09:07.011503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bf0f5defc5c996418f3140452beed6198b0f41995cd0f90753184a4d30ae270

Aliases

arxiv: 2305.07560 · arxiv_version: 2305.07560v1 · doi: 10.48550/arxiv.2305.07560 · pith_short_12: JPYPLXX4LSMW · pith_short_16: JPYPLXX4LSMWIGHT · pith_short_8: JPYPLXX4

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/JPYPLXX4LSMWIGHTCQCFFPXNMG \
  | 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: 4bf0f5defc5c996418f3140452beed6198b0f41995cd0f90753184a4d30ae270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671dbe305a0162a8ef8df2ac1544829766bdd5965972c98ca7bbedebeb688cd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-12T15:36:00Z",
    "title_canon_sha256": "1a0d0b8fc4d47b8f06ce83e9de51adea5650f9b10a3b7fb18b207558bcc4f203"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.07560",
    "kind": "arxiv",
    "version": 1
  }
}