Pith Number

pith:C3GRQU4X

pith:2014:C3GRQU4X5O5IMUDKHZR6M2PROU

not attested not anchored not stored refs pending

Relating $p$-adic eigenvalues and the local Smith normal form

Mark Giesbrecht, Mustafa Elsheikh

arxiv:1401.1773 v4 · 2014-01-08 · math.RA · cs.SC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3GRQU4X5O5IMUDKHZR6M2PROU}

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	2026-05-18T02:16:41.354882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16cd185397ebba86506a3e63e669f175151a2b779bcfb0d289d20035432ccde4

Aliases

arxiv: 1401.1773 · arxiv_version: 1401.1773v4 · doi: 10.48550/arxiv.1401.1773 · pith_short_12: C3GRQU4X5O5I · pith_short_16: C3GRQU4X5O5IMUDK · pith_short_8: C3GRQU4X

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/C3GRQU4X5O5IMUDKHZR6M2PROU \
  | 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: 16cd185397ebba86506a3e63e669f175151a2b779bcfb0d289d20035432ccde4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd1146ee327cd6b450f20e326c9e8b83ac6d79a46e0125505882a98b9991be2",
    "cross_cats_sorted": [
      "cs.SC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-01-08T18:42:52Z",
    "title_canon_sha256": "c650b5ec455948bfb6907b9efb39b8c28ca15c7b705dfe0d2c08361529663fb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1773",
    "kind": "arxiv",
    "version": 4
  }
}