Pith Number

pith:RBTDFE42

pith:2012:RBTDFE42Y4FICOCPDY5IV2NCQA

not attested not anchored not stored refs pending

Characteristic rank of vector bundles over Stiefel manifolds

Ajay Singh Thakur, Aniruddha C. Naolekar, J\'ulius Korba\v{s}

arxiv:1209.1587 v1 · 2012-09-07 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBTDFE42Y4FICOCPDY5IV2NCQA}

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	2026-05-18T03:38:13.921539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

886632939ac70a81384f1e3a8ae9a2800ad58dfda35a072b7550265fea552b98

Aliases

arxiv: 1209.1587 · arxiv_version: 1209.1587v1 · doi: 10.48550/arxiv.1209.1587 · pith_short_12: RBTDFE42Y4FI · pith_short_16: RBTDFE42Y4FICOCP · pith_short_8: RBTDFE42

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/RBTDFE42Y4FICOCPDY5IV2NCQA \
  | 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: 886632939ac70a81384f1e3a8ae9a2800ad58dfda35a072b7550265fea552b98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae77d50800b965872177a2c6536b128d74d188256529fbe5967a01ee082a33ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-07T16:58:50Z",
    "title_canon_sha256": "8e87f56ed3c478fad53a84d931eb9e84c52412781225739a18ab6c1b638992d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1587",
    "kind": "arxiv",
    "version": 1
  }
}