Pith Number

pith:BTTWBG7L

pith:1999:BTTWBG7LZCO25S7DDR4MJCP6QP

not attested not anchored not stored refs pending

Equivariant K-theory, wreath products, and Heisenberg algebra

Weiqiang Wang

arxiv:math/9907151 v2 · 1999-07-23 · math.QA · hep-th · math-ph · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTTWBG7LZCO25S7DDR4MJCP6QP}

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	2026-07-04T14:41:14.951393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ce7609bebc89daecbe31c78c489fe83e22911ed59b257c9f8d8791bed50cf2c

Aliases

arxiv: math/9907151 · arxiv_version: math/9907151v2 · doi: 10.48550/arxiv.math/9907151 · pith_short_12: BTTWBG7LZCO2 · pith_short_16: BTTWBG7LZCO25S7D · pith_short_8: BTTWBG7L

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/BTTWBG7LZCO25S7DDR4MJCP6QP \
  | 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: 0ce7609bebc89daecbe31c78c489fe83e22911ed59b257c9f8d8791bed50cf2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c01c4232d4aefc58a9416eb5f0daec7255b205b172047aea52da0ff8a0968f8c",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.KT",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-07-23T18:04:36Z",
    "title_canon_sha256": "d6a74381c7b846256d613b699a1e94a084fcb2e67c8ca0b5fd95bf313aa1d5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907151",
    "kind": "arxiv",
    "version": 2
  }
}