Pith Number

pith:ROUHL3BW

pith:2013:ROUHL3BWVGUD63L7Y4UAP4GWUQ

not attested not anchored not stored refs pending

On left democracy function

P. Wojtaszczyk

arxiv:1303.4972 v1 · 2013-03-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROUHL3BWVGUD63L7Y4UAP4GWUQ}

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	2026-05-18T03:30:15.519880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ba875ec36a9a83f6d7fc72807f0d6a40e8d8ce9ad0e80538211f539b1210a9a

Aliases

arxiv: 1303.4972 · arxiv_version: 1303.4972v1 · doi: 10.48550/arxiv.1303.4972 · pith_short_12: ROUHL3BWVGUD · pith_short_16: ROUHL3BWVGUD63L7 · pith_short_8: ROUHL3BW

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/ROUHL3BWVGUD63L7Y4UAP4GWUQ \
  | 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: 8ba875ec36a9a83f6d7fc72807f0d6a40e8d8ce9ad0e80538211f539b1210a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55be8986c81160744c5012746ce39ca2091c0ccdd9b42dc0859b253a15a8178c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-20T15:58:25Z",
    "title_canon_sha256": "496b2f31193c83b231ed3356c545375036feef80a2c42df52416590380d32c71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4972",
    "kind": "arxiv",
    "version": 1
  }
}