Pith Number

pith:4DF2AY4R

pith:2008:4DF2AY4RIG2HL6NOIJZWMV4IIU

not attested not anchored not stored refs pending

Infinite divisibility of Smith matrices

Shaofang Hong

arxiv:0808.3550 v1 · 2008-08-26 · 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{4DF2AY4RIG2HL6NOIJZWMV4IIU}

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	2026-05-18T02:15:42.673414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cba0639141b475f9ae427366578845075dcf37177ae9f1c83f65fc11ca1b47

Aliases

arxiv: 0808.3550 · arxiv_version: 0808.3550v1 · doi: 10.48550/arxiv.0808.3550 · pith_short_12: 4DF2AY4RIG2H · pith_short_16: 4DF2AY4RIG2HL6NO · pith_short_8: 4DF2AY4R

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/4DF2AY4RIG2HL6NOIJZWMV4IIU \
  | 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: e0cba0639141b475f9ae427366578845075dcf37177ae9f1c83f65fc11ca1b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e287cec87bf9a7d0de7841af49e24520085255ea7e2f44260474892aead4d34c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-08-26T16:16:31Z",
    "title_canon_sha256": "6c9f2d29505d0631fc3af17c774a99ba0353f46a657e83c49e3c6374768e4211"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3550",
    "kind": "arxiv",
    "version": 1
  }
}