Pith Number

pith:56J32NWR

pith:2005:56J32NWRRRKL6I6M6FEEKDVMNT

not attested not anchored not stored refs pending

Thom isomorphism and Push-forward map in twisted K-theory

Alan L. Carey, Bai-Ling Wang

arxiv:math/0507414 v4 · 2005-07-21 · math.KT · hep-th · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56J32NWRRRKL6I6M6FEEKDVMNT}

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	2026-07-04T14:50:35.909764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef93bd36d18c54bf23ccf148450eac6ce9e3066289f5faab33858540833eb200

Aliases

arxiv: math/0507414 · arxiv_version: math/0507414v4 · doi: 10.48550/arxiv.math/0507414 · pith_short_12: 56J32NWRRRKL · pith_short_16: 56J32NWRRRKL6I6M · pith_short_8: 56J32NWR

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/56J32NWRRRKL6I6M6FEEKDVMNT \
  | 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: ef93bd36d18c54bf23ccf148450eac6ce9e3066289f5faab33858540833eb200

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5af70722ea16cb5dc95366bad3e337acfb7f51079cd09b00ba17ab13686426ea",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2005-07-21T04:36:49Z",
    "title_canon_sha256": "97a7c3e7d7a7ab9801f8613236a17c9d0e472fce6ea551d8828ed37cc0b0331b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507414",
    "kind": "arxiv",
    "version": 4
  }
}