Pith Number

pith:AHKETZXT

pith:2025:AHKETZXTSZQ4RI6FGBMN6XAJYY

not attested not anchored not stored refs pending

New constructions and bounds for nonabelian Sidon sets with applications to Tur\'an-type problems

John Byrne, Michael Tait

arxiv:2509.07750 v1 · 2025-09-09 · 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{AHKETZXTSZQ4RI6FGBMN6XAJYY}

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	2026-07-05T12:07:27.550940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d449e6f39661c8a3c53058df5c09c63f1201043542c3c487024edb77f5adb4

Aliases

arxiv: 2509.07750 · arxiv_version: 2509.07750v1 · doi: 10.48550/arxiv.2509.07750 · pith_short_12: AHKETZXTSZQ4 · pith_short_16: AHKETZXTSZQ4RI6F · pith_short_8: AHKETZXT

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/AHKETZXTSZQ4RI6FGBMN6XAJYY \
  | 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: 01d449e6f39661c8a3c53058df5c09c63f1201043542c3c487024edb77f5adb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42edac96ba956ac1253c6a4bb6d2bd910cd7149b2a1b2c38daffd738b1779314",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-09T13:51:56Z",
    "title_canon_sha256": "1f6ba07ced89e4cee3a832fb1a4bda2f009e9f68f8651b81e99abab6a5f236a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07750",
    "kind": "arxiv",
    "version": 1
  }
}