Pith Number

pith:HBR3I7H7

pith:2014:HBR3I7H74CBWRDWKF2BOWWMRZA

not attested not anchored not stored refs pending

Canonical bases in tensor products revisited

Huanchen Bao, Weiqiang Wang

arxiv:1403.0039 v2 · 2014-03-01 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBR3I7H74CBWRDWKF2BOWWMRZA}

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	2026-05-18T00:52:32.916223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3863b47cffe083688eca2e82eb5991c8086ed7c9765e1c16c5fabc0afec20b16

Aliases

arxiv: 1403.0039 · arxiv_version: 1403.0039v2 · doi: 10.48550/arxiv.1403.0039 · pith_short_12: HBR3I7H74CBW · pith_short_16: HBR3I7H74CBWRDWK · pith_short_8: HBR3I7H7

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/HBR3I7H74CBWRDWKF2BOWWMRZA \
  | 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: 3863b47cffe083688eca2e82eb5991c8086ed7c9765e1c16c5fabc0afec20b16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2da37fdbf175f78a2551c93defbfd6d1a13ca03dba9b1eae2192cd8ded2b4339",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-03-01T02:21:31Z",
    "title_canon_sha256": "386bf37c78a129d0993d01267f0d38fb1797188dd9a9999957dbd37ac7f8972b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0039",
    "kind": "arxiv",
    "version": 2
  }
}