Pith Number

pith:66Z3ZLTD

pith:2012:66Z3ZLTDKP2EQWBPYZP6523C6I

not attested not anchored not stored refs pending

Dimension and measure for generic continuous images

\'Abel Farkas, James T. Hyde, Jonathan M. Fraser, Rich\'ard Balka

arxiv:1209.3168 v2 · 2012-09-14 · math.CA · math.GN · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66Z3ZLTDKP2EQWBPYZP6523C6I}

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	2026-05-17T23:43:57.119062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b3bcae6353f448582fc65feeeb62f22e3dac5e202a3b7a486e9f60784c7962

Aliases

arxiv: 1209.3168 · arxiv_version: 1209.3168v2 · doi: 10.48550/arxiv.1209.3168 · pith_short_12: 66Z3ZLTDKP2E · pith_short_16: 66Z3ZLTDKP2EQWBP · pith_short_8: 66Z3ZLTD

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/66Z3ZLTDKP2EQWBPYZP6523C6I \
  | 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: f7b3bcae6353f448582fc65feeeb62f22e3dac5e202a3b7a486e9f60784c7962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c53bba3afce99489addf8b015345deba6d69eabf78bfad4b41e234dbdb21484e",
    "cross_cats_sorted": [
      "math.GN",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-14T12:30:02Z",
    "title_canon_sha256": "9403baabfe08a3a8ee11cc4d6b61b1c7e0f0b667e5387542c631ff2d8629e91f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3168",
    "kind": "arxiv",
    "version": 2
  }
}