pith. sign in
Pith Number

pith:XNL3BCGD

pith:2012:XNL3BCGDQPBSA23JJ326HVU6LC
not attested not anchored not stored refs pending

Instantons on the six-sphere and twistors

Alexander D. Popov, Olaf Lechtenfeld

arxiv:1206.4128 v2 · 2012-06-19 · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XNL3BCGDQPBSA23JJ326HVU6LC}

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 2026-05-18T01:56:51.111738Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bb57b088c383c3206b694ef5e3d69e58a83d9fd811030741cbdb31951ed6f657

Aliases

arxiv: 1206.4128 · arxiv_version: 1206.4128v2 · doi: 10.48550/arxiv.1206.4128 · pith_short_12: XNL3BCGDQPBS · pith_short_16: XNL3BCGDQPBSA23J · pith_short_8: XNL3BCGD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XNL3BCGDQPBSA23JJ326HVU6LC \
  | 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: bb57b088c383c3206b694ef5e3d69e58a83d9fd811030741cbdb31951ed6f657
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ff851ca4a146bbdcb7ac84bb74ccf7d3ebc53e93c24e75fea42e4cf961a3db8d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-06-19T06:15:50Z",
    "title_canon_sha256": "a1123ca8c76606a75775e3b1ad71c00faf5e8a49e76db69cbe05f26aa66e58e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4128",
    "kind": "arxiv",
    "version": 2
  }
}