Pith Number

pith:52YIRDDX

pith:2023:52YIRDDXN46BNNVBPASD72YE7V

not attested not anchored not stored refs pending

Extremal Polynomial Norms of Graphs

\'Angel Ch\'avez, Justin Son, Keyron Linarez, Matilda LaFortune, Nethmin Liyanage, Sarah Fullerton, Tyler Ting

arxiv:2311.04689 v3 · 2023-11-08 · 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{52YIRDDXN46BNNVBPASD72YE7V}

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	2026-07-01T00:17:07.127356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb0888c776f3c16b6a178243feb04fd46a29ed88d77272dec0f9b4976f4fb5b

Aliases

arxiv: 2311.04689 · arxiv_version: 2311.04689v3 · doi: 10.48550/arxiv.2311.04689 · pith_short_12: 52YIRDDXN46B · pith_short_16: 52YIRDDXN46BNNVB · pith_short_8: 52YIRDDX

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/52YIRDDXN46BNNVBPASD72YE7V \
  | 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: eeb0888c776f3c16b6a178243feb04fd46a29ed88d77272dec0f9b4976f4fb5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed82e949ec3714a7ba8e48cdec0895f6af8d5a038a0916da502beb3ed569869",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-11-08T13:55:31Z",
    "title_canon_sha256": "e37a35fa6ee465d703234a4bf371ec5644c1f9b3a48091e523121a5480432cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.04689",
    "kind": "arxiv",
    "version": 3
  }
}