Pith Number

pith:J5RBO43X

pith:2009:J5RBO43XZ2NGJSWTS5RT4LUXC2

not attested not anchored not stored refs pending

The Bijectivity of the Antipode Revisited

Miodrag C. Iovanov, Serban Raianu

arxiv:1001.0180 v4 · 2009-12-31 · math.QA · 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{J5RBO43XZ2NGJSWTS5RT4LUXC2}

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	2026-05-18T04:41:54.799978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f62177377ce9a64cad397633e2e9716adf6f51db13a179208f6f784beb9a80e

Aliases

arxiv: 1001.0180 · arxiv_version: 1001.0180v4 · doi: 10.48550/arxiv.1001.0180 · pith_short_12: J5RBO43XZ2NG · pith_short_16: J5RBO43XZ2NGJSWT · pith_short_8: J5RBO43X

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/J5RBO43XZ2NGJSWTS5RT4LUXC2 \
  | 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: 4f62177377ce9a64cad397633e2e9716adf6f51db13a179208f6f784beb9a80e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a234574942964c4f953025d2baf8b043110f10fb836b9f7b5094e2c685f81f3a",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-12-31T21:01:45Z",
    "title_canon_sha256": "cf4c728a85d14d9210e35f0ce33322f82e096a762a190319d139b94d5bd511bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0180",
    "kind": "arxiv",
    "version": 4
  }
}