Pith Number

pith:QSADK6TS

pith:2022:QSADK6TSZAYKQZI7BPUJFDADJV

not attested not anchored not stored refs pending

Extensions on spectral extrema of $C_5/C_6$-free graphs with given size

Shuchao Li, Wanting Sun, Wei Wei

arxiv:2206.09295 v2 · 2022-06-18 · 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{QSADK6TSZAYKQZI7BPUJFDADJV}

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	2026-07-05T05:37:06.701069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8480357a72c830a8651f0be8928c034d6653396daf137577b0880f3076845144

Aliases

arxiv: 2206.09295 · arxiv_version: 2206.09295v2 · doi: 10.48550/arxiv.2206.09295 · pith_short_12: QSADK6TSZAYK · pith_short_16: QSADK6TSZAYKQZI7 · pith_short_8: QSADK6TS

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/QSADK6TSZAYKQZI7BPUJFDADJV \
  | 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: 8480357a72c830a8651f0be8928c034d6653396daf137577b0880f3076845144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91836841ac62bf61be700254c561f329336f8c2111f3ca6f122f8f954b099c18",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-18T23:11:45Z",
    "title_canon_sha256": "6f9c845eff35211aa9417d8f28d1e402cc3af6ecf855a8d8dc14a735e0b54209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.09295",
    "kind": "arxiv",
    "version": 2
  }
}