Pith Number

pith:AJSTEENJ

pith:2026:AJSTEENJVELUQA4UJUVIOG53YI

not attested not anchored not stored refs pending

A Generalization of the Amdeberhan-Andrews-Ballantine Conjecture

Rong chen, Tianjian Xu

arxiv:2606.06086 v1 · 2026-06-04 · math.NT · 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{AJSTEENJVELUQA4UJUVIOG53YI}

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	2026-06-05T01:15:32.792953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02653211a9a9174803944d2a871bbbc2202e2a59633d57ec6608bf3c2f8512a0

Aliases

arxiv: 2606.06086 · arxiv_version: 2606.06086v1 · doi: 10.48550/arxiv.2606.06086 · pith_short_12: AJSTEENJVELU · pith_short_16: AJSTEENJVELUQA4U · pith_short_8: AJSTEENJ

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/AJSTEENJVELUQA4UJUVIOG53YI \
  | 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: 02653211a9a9174803944d2a871bbbc2202e2a59633d57ec6608bf3c2f8512a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f3e8de4c4d3481a31ff6175c70461c28e3d99f81feaca0193725566aa94fa7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-04T12:25:23Z",
    "title_canon_sha256": "ac221cd7a91184d6d3c11d4fd57897bc520f914d10316a09a5b5e747a522cde3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06086",
    "kind": "arxiv",
    "version": 1
  }
}