Pith Number

pith:C4KAE75I

pith:2017:C4KAE75IKN4TS2P7CEVKDCRI4J

not attested not anchored not stored refs pending

On the cohomology ring and upper characteristic rank of Grassmannian of oriented $3$-planes

Prateep Chakraborty, Somnath Basu

arxiv:1712.00284 v1 · 2017-12-01 · 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{C4KAE75IKN4TS2P7CEVKDCRI4J}

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	2026-05-17T23:40:41.983495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1714027fa853793969ff112aa18a28e26d5b3c7e203c9cdafe5b1460a1790fcd

Aliases

arxiv: 1712.00284 · arxiv_version: 1712.00284v1 · doi: 10.48550/arxiv.1712.00284 · pith_short_12: C4KAE75IKN4T · pith_short_16: C4KAE75IKN4TS2P7 · pith_short_8: C4KAE75I

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/C4KAE75IKN4TS2P7CEVKDCRI4J \
  | 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: 1714027fa853793969ff112aa18a28e26d5b3c7e203c9cdafe5b1460a1790fcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f182b9dacbb7e625d8ad432b174cb6d93e3a8dfbf5265cf558e8877167be1afc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-12-01T11:48:00Z",
    "title_canon_sha256": "dcd6acd43d14b1e09f43bfc543a82f06f837db42b7566cf80f206afd6239c9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00284",
    "kind": "arxiv",
    "version": 1
  }
}