Pith Number

pith:QPWHYGS5

pith:2002:QPWHYGS5KVF6YHP5SS4WT4ZAXJ

not attested not anchored not stored refs pending

Twisted equivariant K-theory with complex coefficients

Constantin Teleman, Daniel S. Freed, Michael J. Hopkins

arxiv:math/0206257 v4 · 2002-06-24 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPWHYGS5KVF6YHP5SS4WT4ZAXJ}

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

Quantum and Reality

Receipt and verification

First computed	2026-05-18T02:57:51.158970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83ec7c1a5d554bec1dfd94b969f320ba54d0c781dfc953bd915ae8f90a94d088

Aliases

arxiv: math/0206257 · arxiv_version: math/0206257v4 · doi: 10.48550/arxiv.math/0206257 · pith_short_12: QPWHYGS5KVF6 · pith_short_16: QPWHYGS5KVF6YHP5 · pith_short_8: QPWHYGS5

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/QPWHYGS5KVF6YHP5SS4WT4ZAXJ \
  | 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: 83ec7c1a5d554bec1dfd94b969f320ba54d0c781dfc953bd915ae8f90a94d088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d941ae849e94fe46eed6edfd2f07fe27d59a452282df1c5b190c894b8226481",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-06-24T23:11:22Z",
    "title_canon_sha256": "3c803434aeee62e86255c63bb64331a4c44c0188268ffc288807c747babb61e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206257",
    "kind": "arxiv",
    "version": 4
  }
}