Pith Number

pith:J4IWRIH6

pith:2001:J4IWRIH6JGFDVUOTXT3XSOHFFQ

not attested not anchored not stored refs pending

An algebraic analog of the Virasoro group

Jack Morava

arxiv:math/0109084 v1 · 2001-09-13 · math.QA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4IWRIH6JGFDVUOTXT3XSOHFFQ}

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

On a complex topological orientation for circle-equivariant K-theory

Receipt and verification

First computed	2026-07-04T16:28:16.527138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1168a0fe498a3ad1d3bcf77938e52c1fc94ed56d15d45132202423f460916c

Aliases

arxiv: math/0109084 · arxiv_version: math/0109084v1 · doi: 10.48550/arxiv.math/0109084 · pith_short_12: J4IWRIH6JGFD · pith_short_16: J4IWRIH6JGFDVUOT · pith_short_8: J4IWRIH6

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/J4IWRIH6JGFDVUOTXT3XSOHFFQ \
  | 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: 4f1168a0fe498a3ad1d3bcf77938e52c1fc94ed56d15d45132202423f460916c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a370253e1897abf73f084ec8a16a8484f24385f8e6a13a2086d84c4fdf0ad033",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2001-09-13T16:43:25Z",
    "title_canon_sha256": "d16906f0893489dab3616f80e6dfcd56ce81364a4b3404a69aeae3082fb44cea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0109084",
    "kind": "arxiv",
    "version": 1
  }
}