Pith Number

pith:XIW5IWKK

pith:2011:XIW5IWKK5IAEVFEXJIVOV2UQBN

not attested not anchored not stored refs pending

The Belkale-Kumar cup product and relative Lie algebra cohomology

Sam Evens, William Graham, with an appendix jointly written with Edward Richmond

arxiv:1104.1415 v2 · 2011-04-07 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIW5IWKK5IAEVFEXJIVOV2UQBN}

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	2026-05-18T04:21:12.038684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba2dd4594aea004a94974a2aeaea900b5be9d711c636bbad8cb0c222cbe579a8

Aliases

arxiv: 1104.1415 · arxiv_version: 1104.1415v2 · doi: 10.48550/arxiv.1104.1415 · pith_short_12: XIW5IWKK5IAE · pith_short_16: XIW5IWKK5IAEVFEX · pith_short_8: XIW5IWKK

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/XIW5IWKK5IAEVFEXJIVOV2UQBN \
  | 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: ba2dd4594aea004a94974a2aeaea900b5be9d711c636bbad8cb0c222cbe579a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd99b1db5f146840deb363eced714c734d85cd096d1e8ad5d912d725e832a5bd",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-07T19:47:51Z",
    "title_canon_sha256": "d9f584d15dd8a1d026200305e063fe03a827282dc1495af31db44cfd00dbe5ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1415",
    "kind": "arxiv",
    "version": 2
  }
}