Pith Number

pith:VXZAM555

pith:2026:VXZAM555PZ7TKZKEU6AOC3YW2K

not attested not anchored not stored refs pending

Variants on the $abc$-Conjecture using Alternative Quality Metrics

Akilan Sankaran

arxiv:2606.08416 v1 · 2026-06-07 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VXZAM555PZ7TKZKEU6AOC3YW2K}

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	2026-06-09T01:05:36.110887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adf20677bd7e7f356544a780e16f16d29b1535dad50fb869ac0ac8509419618d

Aliases

arxiv: 2606.08416 · arxiv_version: 2606.08416v1 · doi: 10.48550/arxiv.2606.08416 · pith_short_12: VXZAM555PZ7T · pith_short_16: VXZAM555PZ7TKZKE · pith_short_8: VXZAM555

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/VXZAM555PZ7TKZKEU6AOC3YW2K \
  | 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: adf20677bd7e7f356544a780e16f16d29b1535dad50fb869ac0ac8509419618d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ff9353a5a188d0cf61ab31dcecb4f0268c648c12a932aae905f68248d369038",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2026-06-07T02:35:48Z",
    "title_canon_sha256": "3a1e98fefe3569d273456d650973cdd0da7e655ff9ba2b3e6c8ecf44e8aab641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08416",
    "kind": "arxiv",
    "version": 1
  }
}