Pith. sign in
Pith Number

pith:7LW7RPUM

pith:2002:7LW7RPUMBTS4WQT4Q5MIIVSH6S
not attested not anchored not stored refs pending

HKR characters and higher twisted sectors

Jack Morava

arxiv:math/0208235 v2 · 2002-08-29 · math.AT · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7LW7RPUMBTS4WQT4Q5MIIVSH6S}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-04T14:36:24.182061Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

faedf8be8c0ce5cb427c8758845647f4aeacde5c45e0c7d8c7a8f15549a6840a

Aliases

arxiv: math/0208235 · arxiv_version: math/0208235v2 · doi: 10.48550/arxiv.math/0208235 · pith_short_12: 7LW7RPUMBTS4 · pith_short_16: 7LW7RPUMBTS4WQT4 · pith_short_8: 7LW7RPUM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7LW7RPUMBTS4WQT4Q5MIIVSH6S \
  | 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: faedf8be8c0ce5cb427c8758845647f4aeacde5c45e0c7d8c7a8f15549a6840a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3e6a5c50e0abe5265225c7cbdee9b0cd6ee0aef541838d6148ca9549c31aa410",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-08-29T20:39:45Z",
    "title_canon_sha256": "1168928540ad9852177bfd9f072d0f945dc1675ec71b60cc6cb48fcc92366399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208235",
    "kind": "arxiv",
    "version": 2
  }
}