Pith Number

pith:MPUAKS4M

pith:2011:MPUAKS4MCBK6WZGITHMWIEYFWA

not attested not anchored not stored refs pending

Grids with dense values

Uri Shapira

arxiv:1101.3941 v1 · 2011-01-20 · math.DS · 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{MPUAKS4MCBK6WZGITHMWIEYFWA}

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	2026-05-18T04:31:20.803860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63e8054b8c1055eb64c899d9641305b00d2726d7af2ba66cae3979eb21161309

Aliases

arxiv: 1101.3941 · arxiv_version: 1101.3941v1 · doi: 10.48550/arxiv.1101.3941 · pith_short_12: MPUAKS4MCBK6 · pith_short_16: MPUAKS4MCBK6WZGI · pith_short_8: MPUAKS4M

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/MPUAKS4MCBK6WZGITHMWIEYFWA \
  | 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: 63e8054b8c1055eb64c899d9641305b00d2726d7af2ba66cae3979eb21161309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad550c51452680d51406dead64508966232646f73422625ad750528e51536ef",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-01-20T16:06:36Z",
    "title_canon_sha256": "4ceb03231037e0f241fa0bc4e46c2d1d438f08ebe9f523e9b691c58c31b0cc2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3941",
    "kind": "arxiv",
    "version": 1
  }
}