Pith Number

pith:7M5V5P2K

pith:2016:7M5V5P2KF6FEQG2WJVRY7KZT3R

not attested not anchored not stored refs pending

Reduction to dimension two of local spectrum for $AH$ algebra with ideal property

Chunlan Jiang

arxiv:1607.07578 v3 · 2016-07-26 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7M5V5P2KF6FEQG2WJVRY7KZT3R}

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	2026-05-18T00:45:58.707208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb3b5ebf4a2f8a481b564d638fab33dc7e404a4053abd792043d8f6ba5aef5cc

Aliases

arxiv: 1607.07578 · arxiv_version: 1607.07578v3 · doi: 10.48550/arxiv.1607.07578 · pith_short_12: 7M5V5P2KF6FE · pith_short_16: 7M5V5P2KF6FEQG2W · pith_short_8: 7M5V5P2K

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/7M5V5P2KF6FEQG2WJVRY7KZT3R \
  | 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: fb3b5ebf4a2f8a481b564d638fab33dc7e404a4053abd792043d8f6ba5aef5cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e54dff3d9ea5496f869675b28a00202c6ae4b58d8b1ce0fa697328334061fdc3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-07-26T07:57:26Z",
    "title_canon_sha256": "6c3198fb76a2b97cfe2a642a100b4f5df7b7a1c1e5d9fb04809ca00b1aac92a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07578",
    "kind": "arxiv",
    "version": 3
  }
}