Pith Number

pith:SQXFHRO5

pith:2012:SQXFHRO54IKUGVS6DJO2UJDE36

not attested not anchored not stored refs pending

Vanishing at infinity on homogeneous spaces of reductive type

Bernhard Kr\"otz, Eitan Sayag, Henrik Schlichtkrull

arxiv:1211.2781 v3 · 2012-11-12 · 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{SQXFHRO54IKUGVS6DJO2UJDE36}

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	2026-05-18T00:47:31.754473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

942e53c5dde21543565e1a5daa2464df82ac404c6bdf08bef7824872b2b4c11d

Aliases

arxiv: 1211.2781 · arxiv_version: 1211.2781v3 · doi: 10.48550/arxiv.1211.2781 · pith_short_12: SQXFHRO54IKU · pith_short_16: SQXFHRO54IKUGVS6 · pith_short_8: SQXFHRO5

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/SQXFHRO54IKUGVS6DJO2UJDE36 \
  | 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: 942e53c5dde21543565e1a5daa2464df82ac404c6bdf08bef7824872b2b4c11d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa15e15328116cb96843775767dfaf8616dcbb73015a5a7aa595364d9c6ec17b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-12T20:43:13Z",
    "title_canon_sha256": "73b4e6b250eec468b73ccc8550a79b6faf851af322b23f51116a87d937757c6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2781",
    "kind": "arxiv",
    "version": 3
  }
}