Pith Number

pith:M3M33RDN

pith:2017:M3M33RDNN2CJGUWJ3YMXPDBMIY

not attested not anchored not stored refs pending

Torsions of integral homology and cohomology of real Grassmannians

Chen He

arxiv:1709.05623 v1 · 2017-09-17 · 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{M3M33RDNN2CJGUWJ3YMXPDBMIY}

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	2026-05-18T00:35:00.082549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d9bdc46d6e849352c9de19778c2c4615508d2d3accd9a04223d1d9a98a53df

Aliases

arxiv: 1709.05623 · arxiv_version: 1709.05623v1 · doi: 10.48550/arxiv.1709.05623 · pith_short_12: M3M33RDNN2CJ · pith_short_16: M3M33RDNN2CJGUWJ · pith_short_8: M3M33RDN

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/M3M33RDNN2CJGUWJ3YMXPDBMIY \
  | 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: 66d9bdc46d6e849352c9de19778c2c4615508d2d3accd9a04223d1d9a98a53df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788ed63a256480efa380a6d2eecbe9f69b0f3cc0efaeb426f9d402ba011edca8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-09-17T07:55:17Z",
    "title_canon_sha256": "e879ff2c248a7a387de2a4509c1c39454ebf349812f431af3607899e66ebf0c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.05623",
    "kind": "arxiv",
    "version": 1
  }
}