Pith Number

pith:RR3XWPV4

pith:2012:RR3XWPV4X4ILQ3XPUQLO5AR6I4

not attested not anchored not stored refs pending

Bigraded cohomology of Z/2-equivariant Grassmannians

Daniel Dugger

arxiv:1209.5067 v1 · 2012-09-23 · 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{RR3XWPV4X4ILQ3XPUQLO5AR6I4}

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	2026-05-18T02:03:38.541991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c777b3ebcbf10b86eefa416ee823e47009c577a5e3a408138284708fd46e497

Aliases

arxiv: 1209.5067 · arxiv_version: 1209.5067v1 · doi: 10.48550/arxiv.1209.5067 · pith_short_12: RR3XWPV4X4IL · pith_short_16: RR3XWPV4X4ILQ3XP · pith_short_8: RR3XWPV4

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/RR3XWPV4X4ILQ3XPUQLO5AR6I4 \
  | 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: 8c777b3ebcbf10b86eefa416ee823e47009c577a5e3a408138284708fd46e497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a7f7dd7e793ec535fac393edb38cd3b358f956f3d405465937d38bf3d2043ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-23T14:17:44Z",
    "title_canon_sha256": "2c6c33b228250f47e8691742a6e5a7f34d721c6f7851f3da395568620a558634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5067",
    "kind": "arxiv",
    "version": 1
  }
}