Pith Number

pith:L4Q7A6DS

pith:2013:L4Q7A6DSNEUHH3UJ5ZFJWPX44J

not attested not anchored not stored refs pending

The degree of the dormant operatic locus

Kirti Joshi

arxiv:1311.4359 v3 · 2013-11-18 · math.AG · 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{L4Q7A6DSNEUHH3UJ5ZFJWPX44J}

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	2026-05-18T00:31:14.257094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f21f07872692873ee89ee4a9b3efce27fcd6839774a30220753b41d1fb7004e

Aliases

arxiv: 1311.4359 · arxiv_version: 1311.4359v3 · doi: 10.48550/arxiv.1311.4359 · pith_short_12: L4Q7A6DSNEUH · pith_short_16: L4Q7A6DSNEUHH3UJ · pith_short_8: L4Q7A6DS

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/L4Q7A6DSNEUHH3UJ5ZFJWPX44J \
  | 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: 5f21f07872692873ee89ee4a9b3efce27fcd6839774a30220753b41d1fb7004e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0e2e1ff40cccbdb4961310ca859be7bf862f19e19155568c34ff8d91bb31a71",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-18T12:57:16Z",
    "title_canon_sha256": "cb4b66b67947272c299979e1fd4bec8ba9e3488b2246140e851553a80c28ce6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4359",
    "kind": "arxiv",
    "version": 3
  }
}