Pith Number

pith:J2QNWIR4

pith:2010:J2QNWIR43CW24HWF4KQFMLJEJ6

not attested not anchored not stored refs pending

Orientability of vector bundles over real flag manifolds

La\'ercio J. dos Santos, Lucas Seco, Luiz A. B. San Martin, Mauro Patr\~ao

arxiv:1012.0182 v2 · 2010-12-01 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2QNWIR43CW24HWF4KQFMLJEJ6}

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	2026-05-18T04:19:13.266049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ea0db223cd8adae1ec5e2a0562d244fac2ecb9e421aabfb0975471eb1703d4a

Aliases

arxiv: 1012.0182 · arxiv_version: 1012.0182v2 · doi: 10.48550/arxiv.1012.0182 · pith_short_12: J2QNWIR43CW2 · pith_short_16: J2QNWIR43CW24HWF · pith_short_8: J2QNWIR4

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/J2QNWIR43CW24HWF4KQFMLJEJ6 \
  | 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: 4ea0db223cd8adae1ec5e2a0562d244fac2ecb9e421aabfb0975471eb1703d4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "262b0645292af8a5568b3c744cdfcfe9f95c91745b4ce6b92dd374a44200a558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-01T13:01:57Z",
    "title_canon_sha256": "eca9e1ea951cf27a3f574c8732bce9b36cf2082b40d48c112efe50fe1ebd9674"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0182",
    "kind": "arxiv",
    "version": 2
  }
}