Pith Number

pith:JAP72PD7

pith:2011:JAP72PD7KL42GSBRO5LG2A6I63

not attested not anchored not stored refs pending

Classification of equivariant vector bundles over real projective plane

Min Kyu Kim

arxiv:1103.2494 v1 · 2011-03-13 · math.GR · math.AT · math.KT · 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{JAP72PD7KL42GSBRO5LG2A6I63}

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	2026-05-18T04:26:55.187813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

481ffd3c7f52f9a3483177566d03c8f6d60e9cfe5a3c05d4017be77f7035b008

Aliases

arxiv: 1103.2494 · arxiv_version: 1103.2494v1 · doi: 10.48550/arxiv.1103.2494 · pith_short_12: JAP72PD7KL42 · pith_short_16: JAP72PD7KL42GSBR · pith_short_8: JAP72PD7

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/JAP72PD7KL42GSBRO5LG2A6I63 \
  | 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: 481ffd3c7f52f9a3483177566d03c8f6d60e9cfe5a3c05d4017be77f7035b008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78bc1c2214c896b17287da3e3542892850e5be2cb8a0e9bbc411cfb4c53d9acc",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-13T03:46:52Z",
    "title_canon_sha256": "c16b78e24c52df56d7c92cfc99f614f83aa66eded43ad021f2e402999d030f23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2494",
    "kind": "arxiv",
    "version": 1
  }
}