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Pith Number

pith:CZF72DAK

pith:2008:CZF72DAKPHU46ZFZCMGDX2AX5R
not attested not anchored not stored refs pending

Towards a non-abelian electric-magnetic symmetry: the skeleton group

B. J. Schroers, F. A. Bais, J. K. Slingerland, L. Kampmeijer

arxiv:0812.1230 v3 · 2008-12-05 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CZF72DAKPHU46ZFZCMGDX2AX5R}

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 2026-05-18T04:25:51.503406Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

164bfd0c0a79e9cf64b9130c3be817ec74dd80b1a9db939ae57a323b0b911b86

Aliases

arxiv: 0812.1230 · arxiv_version: 0812.1230v3 · doi: 10.48550/arxiv.0812.1230 · pith_short_12: CZF72DAKPHU4 · pith_short_16: CZF72DAKPHU46ZFZ · pith_short_8: CZF72DAK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CZF72DAKPHU46ZFZCMGDX2AX5R \
  | 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: 164bfd0c0a79e9cf64b9130c3be817ec74dd80b1a9db939ae57a323b0b911b86
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ceb393e45bacb64da65252fa18864cd441d9ed6b88f95e1a14fb7fb078708f9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-12-05T21:40:05Z",
    "title_canon_sha256": "e38a460907d44b2fc4b80c32b5b781d1da7bf8fc0597ad55011857ac4d70d131"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1230",
    "kind": "arxiv",
    "version": 3
  }
}