Pith Number

pith:WLGLVELX

pith:2016:WLGLVELXRE4T6HI5RF6FVQCC5C

not attested not anchored not stored refs pending

Classical sheaf cohomology rings on Grassmannians

Eric Sharpe, Jirui Guo, Zhentao Lu

arxiv:1605.01410 v2 · 2016-05-04 · math.AG · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLGLVELXRE4T6HI5RF6FVQCC5C}

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	2026-05-18T00:38:42.320665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ccba917789393f1d1d897c5ac042e884d23e6a83bee0a7333ed37e6815fa46

Aliases

arxiv: 1605.01410 · arxiv_version: 1605.01410v2 · doi: 10.48550/arxiv.1605.01410 · pith_short_12: WLGLVELXRE4T · pith_short_16: WLGLVELXRE4T6HI5 · pith_short_8: WLGLVELX

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/WLGLVELXRE4T6HI5RF6FVQCC5C \
  | 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: b2ccba917789393f1d1d897c5ac042e884d23e6a83bee0a7333ed37e6815fa46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008c14df54dd9baf39f1c2299c519dabe89f4643a0dd65dbd93804396b03a007",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-05-04T20:00:06Z",
    "title_canon_sha256": "6635e6c658b316376c3dffc0a96b38d370da2b175d6d03c338ecc7745c41b283"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01410",
    "kind": "arxiv",
    "version": 2
  }
}