Pith Number

pith:NPGRNEE3

pith:2011:NPGRNEE3T2IGC6LLRXFQ6BB5NO

not attested not anchored not stored refs pending

On the invariants of the splitting algebra

Anders Thorup

arxiv:1105.4478 v1 · 2011-05-23 · math.AC · 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{NPGRNEE3T2IGC6LLRXFQ6BB5NO}

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	2026-05-18T04:21:29.214584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bcd16909b9e9061796b8dcb0f043d6b992f4a37eb1bf37b88f95dfb5fde499f

Aliases

arxiv: 1105.4478 · arxiv_version: 1105.4478v1 · doi: 10.48550/arxiv.1105.4478 · pith_short_12: NPGRNEE3T2IG · pith_short_16: NPGRNEE3T2IGC6LL · pith_short_8: NPGRNEE3

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/NPGRNEE3T2IGC6LLRXFQ6BB5NO \
  | 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: 6bcd16909b9e9061796b8dcb0f043d6b992f4a37eb1bf37b88f95dfb5fde499f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa8c3dfb4d5d6310c7f4446563885ea28d47622f24ccf44893ab4dcabc0cc29",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-05-23T12:24:21Z",
    "title_canon_sha256": "596f53c3c19d56eaa0ccec73ae3266ee9572b32791028dd73346e00fd2ba95ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4478",
    "kind": "arxiv",
    "version": 1
  }
}