Pith Number

pith:QBTS5ABS

pith:2013:QBTS5ABSF2RRZUB3NPELPBIFMK

not attested not anchored not stored refs pending

Higher cohomology of parabolic actions on certain homogeneous spaces

Felipe A. Ramirez

arxiv:1312.4054 v1 · 2013-12-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBTS5ABSF2RRZUB3NPELPBIFMK}

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	2026-05-18T00:38:06.669303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80672e80322ea31cd03b6bc8b785056280bf48d5c94b0006487843abed41bf3b

Aliases

arxiv: 1312.4054 · arxiv_version: 1312.4054v1 · doi: 10.48550/arxiv.1312.4054 · pith_short_12: QBTS5ABSF2RR · pith_short_16: QBTS5ABSF2RRZUB3 · pith_short_8: QBTS5ABS

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/QBTS5ABSF2RRZUB3NPELPBIFMK \
  | 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: 80672e80322ea31cd03b6bc8b785056280bf48d5c94b0006487843abed41bf3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80b1b4d91f81882155f5fe9c214776eecbb57f9bc3e7ecd78d612fbbeabc235",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-12-14T15:31:43Z",
    "title_canon_sha256": "a100c8b6d4addddb7e36815acfb5b4ebf86321a550d36980036bc11080de1af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4054",
    "kind": "arxiv",
    "version": 1
  }
}