Pith Number

pith:K4HPB2K6

pith:2012:K4HPB2K6INRDO2A7Y46PGGNQAZ

not attested not anchored not stored refs pending

The relative Hochschild-Serre spectral sequence and the Belkale-Kumar product

Sam Evens, William Graham

arxiv:1201.0380 v1 · 2012-01-01 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4HPB2K6INRDO2A7Y46PGGNQAZ}

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	2026-05-18T04:05:25.391178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570ef0e95e436237681fc73cf319b0064bc680113ce22f6f27c7e44fd1e3c550

Aliases

arxiv: 1201.0380 · arxiv_version: 1201.0380v1 · doi: 10.48550/arxiv.1201.0380 · pith_short_12: K4HPB2K6INRD · pith_short_16: K4HPB2K6INRDO2A7 · pith_short_8: K4HPB2K6

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/K4HPB2K6INRDO2A7Y46PGGNQAZ \
  | 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: 570ef0e95e436237681fc73cf319b0064bc680113ce22f6f27c7e44fd1e3c550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "525eec917a30ac34bb4bf54c8d9bcf341594af6a71b8d07e8a7e760688e04142",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-01T20:20:08Z",
    "title_canon_sha256": "1aeec8e124c77c8808fb4ffc03f030b1313ecda54ee1df93d3cfa54f7d9d4f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0380",
    "kind": "arxiv",
    "version": 1
  }
}