Pith Number

pith:AHJWNI33

pith:2025:AHJWNI33VDBMTCBLHE2EJKNBGH

not attested not anchored not stored refs pending

VC-dimension of generalized progressions in some nonabelian groups

Aycin Iplikci Arodirik, David Zeng, Gabriel Conant, Tora Ozawa

arxiv:2505.21789 v1 · 2025-05-27 · math.GR · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHJWNI33VDBMTCBLHE2EJKNBGH}

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	2026-07-05T11:11:03.573143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d366a37ba8c2c9882b393444a9a131e0deca6f72143d18ace2d2e1a1f61136

Aliases

arxiv: 2505.21789 · arxiv_version: 2505.21789v1 · doi: 10.48550/arxiv.2505.21789 · pith_short_12: AHJWNI33VDBM · pith_short_16: AHJWNI33VDBMTCBL · pith_short_8: AHJWNI33

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/AHJWNI33VDBMTCBLHE2EJKNBGH \
  | 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: 01d366a37ba8c2c9882b393444a9a131e0deca6f72143d18ace2d2e1a1f61136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a125bc4efede7172ce35b425852adf36337723b2b9df4f8ee2fb73c54b2c95",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2025-05-27T21:39:46Z",
    "title_canon_sha256": "6ee7219a2dcdb3afe3433ab25ae799a0cee71b2c4b0b2025070cdc1ab57fa69c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.21789",
    "kind": "arxiv",
    "version": 1
  }
}