Pith Number

pith:NCHLMTO4

pith:2022:NCHLMTO45HO52EH5Z6PY4DGT5W

not attested not anchored not stored refs pending

Alternating Multiple Mixed Values: Regularization, Special Values, Parity and Dimension Conjectures

Ce Xu, Jianqiang Zhao, Lu Yan

arxiv:2208.09593 v3 · 2022-08-20 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCHLMTO45HO52EH5Z6PY4DGT5W}

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	2026-07-05T10:03:37.469029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

688eb64ddce9dddd10fdcf9f8e0cd3ed8493dd59831397c6f6b6d7c2518fecac

Aliases

arxiv: 2208.09593 · arxiv_version: 2208.09593v3 · doi: 10.48550/arxiv.2208.09593 · pith_short_12: NCHLMTO45HO5 · pith_short_16: NCHLMTO45HO52EH5 · pith_short_8: NCHLMTO4

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/NCHLMTO45HO52EH5Z6PY4DGT5W \
  | 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: 688eb64ddce9dddd10fdcf9f8e0cd3ed8493dd59831397c6f6b6d7c2518fecac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2081f285350f877cab6d76a59ea7d53e5cdcacdf2151926f24a820940a57547e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-08-20T03:28:43Z",
    "title_canon_sha256": "e961b2d9bef7b996e81af9ebfc2316105a4aa81e969e776096307f93b733e23b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.09593",
    "kind": "arxiv",
    "version": 3
  }
}