Pith Number

pith:FFFHAHTJ

pith:2023:FFFHAHTJYNRCARHV5TFSUKETCM

not attested not anchored not stored refs pending

Idempotence of microlocal kernels and $S^1$-equivariant Chiu-Tamarkin invariant

Bingyu Zhang

arxiv:2306.12316 v2 · 2023-06-21 · math.SG · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFFHAHTJYNRCARHV5TFSUKETCM}

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

A remark on Continuous K-theory and Fourier-Sato transform

Receipt and verification

First computed	2026-07-05T07:25:24.253897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

294a701e69c3622044f5eccb2a2893133cdda5022ac69b4a094d51485b9d9b4e

Aliases

arxiv: 2306.12316 · arxiv_version: 2306.12316v2 · doi: 10.48550/arxiv.2306.12316 · pith_short_12: FFFHAHTJYNRC · pith_short_16: FFFHAHTJYNRCARHV · pith_short_8: FFFHAHTJ

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/FFFHAHTJYNRCARHV5TFSUKETCM \
  | 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: 294a701e69c3622044f5eccb2a2893133cdda5022ac69b4a094d51485b9d9b4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b42dcdce33eec811d5dcb2b5694e51e366b19b7b2f8bbb0106d8d8dbcd9f1084",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2023-06-21T14:58:02Z",
    "title_canon_sha256": "f1995d0a91aaf81d41781320ddbae7bdf0ba92719904633b3b808359a847fe52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.12316",
    "kind": "arxiv",
    "version": 2
  }
}