Pith Number

pith:LPHF2UKV

pith:2016:LPHF2UKVJWGCFQUMGQKC5BUQEA

not attested not anchored not stored refs pending

Rigged modules II: multipliers and duality

David P. Blecher

arxiv:1608.00179 v2 · 2016-07-31 · math.OA · 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{LPHF2UKVJWGCFQUMGQKC5BUQEA}

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	2026-05-18T00:51:57.701001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bce5d51554d8c22c28c34142e8690203a7ae0325e825c3fc18a2b72d7e1b14f

Aliases

arxiv: 1608.00179 · arxiv_version: 1608.00179v2 · doi: 10.48550/arxiv.1608.00179 · pith_short_12: LPHF2UKVJWGC · pith_short_16: LPHF2UKVJWGCFQUM · pith_short_8: LPHF2UKV

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/LPHF2UKVJWGCFQUMGQKC5BUQEA \
  | 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: 5bce5d51554d8c22c28c34142e8690203a7ae0325e825c3fc18a2b72d7e1b14f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a065d54ad60ce2c1f2ad5e4e8837ec67546ecd1c1edc879511d74fca6ad803c9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-07-31T03:09:30Z",
    "title_canon_sha256": "9f8f9484078cbd5d089598be7960ba6a69e8c5507c3d3a8f285d62c11a9b851f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00179",
    "kind": "arxiv",
    "version": 2
  }
}