Pith Number

pith:TM3XMCRI

pith:2006:TM3XMCRIJ27J3Q7XNUIERLR5NO

not attested not anchored not stored refs pending

Matrix formalism of synchrobetatron coupling

Xiaobiao Huang

arxiv:physics/0610015 v3 · 2006-10-02 · physics.atm-clus · physics.acc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TM3XMCRIJ27J3Q7XNUIERLR5NO}

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	2026-05-18T03:24:20.813232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b37760a284ebe9dc3f76d1048ae3d6b80e1314f743c660513f4295bdb85ceb5

Aliases

arxiv: physics/0610015 · arxiv_version: physics/0610015v3 · doi: 10.48550/arxiv.physics/0610015 · pith_short_12: TM3XMCRIJ27J · pith_short_16: TM3XMCRIJ27J3Q7X · pith_short_8: TM3XMCRI

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/TM3XMCRIJ27J3Q7XNUIERLR5NO \
  | 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: 9b37760a284ebe9dc3f76d1048ae3d6b80e1314f743c660513f4295bdb85ceb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fc8b36e8f84e3d46de866300ebaf48e0bf385d4b04c99ca0435c3736f91619b",
    "cross_cats_sorted": [
      "physics.acc-ph"
    ],
    "license": "",
    "primary_cat": "physics.atm-clus",
    "submitted_at": "2006-10-02T22:58:54Z",
    "title_canon_sha256": "8c0b2471657742de043cf01f0d29dcf6fef733610d5fefa0513e2f2624488d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0610015",
    "kind": "arxiv",
    "version": 3
  }
}