Pith Number

pith:CJB7U3QP

pith:2011:CJB7U3QPEV7VQ7USCAG36AJ2TR

not attested not anchored not stored refs pending

Galois theory and commutators

Tim Van der Linden, Tomas Everaert

arxiv:1104.0518 v1 · 2011-04-04 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJB7U3QPEV7VQ7USCAG36AJ2TR}

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	2026-05-18T04:25:03.937986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1243fa6e0f257f587e92100dbf013a9c5a0db248213b3f3e3d2403d0126e6078

Aliases

arxiv: 1104.0518 · arxiv_version: 1104.0518v1 · doi: 10.48550/arxiv.1104.0518 · pith_short_12: CJB7U3QPEV7V · pith_short_16: CJB7U3QPEV7VQ7US · pith_short_8: CJB7U3QP

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/CJB7U3QPEV7VQ7USCAG36AJ2TR \
  | 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: 1243fa6e0f257f587e92100dbf013a9c5a0db248213b3f3e3d2403d0126e6078

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a91f2475217efbff561a3abe702774a679a8dee77765465079f0f395c4806d23",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-04-04T10:16:10Z",
    "title_canon_sha256": "1140982dcc95944186bd3bc9e9763763a61529bbd42548d33cf8bbd4c4d270b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0518",
    "kind": "arxiv",
    "version": 1
  }
}