Pith Number

pith:M4HHOVMZ

pith:2006:M4HHOVMZ7EBM4XGUPPEFBJSFOM

not attested not anchored not stored refs pending

On simplicity of vacuum modules

M. Gorelik, V. Kac

arxiv:math-ph/0606002 v2 · 2006-05-31 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4HHOVMZ7EBM4XGUPPEFBJSFOM}

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	2026-05-18T03:02:07.787914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670e775599f902ce5cd47bc850a6457317611d045b8210ca195244edf71bf3f6

Aliases

arxiv: math-ph/0606002 · arxiv_version: math-ph/0606002v2 · doi: 10.48550/arxiv.math-ph/0606002 · pith_short_12: M4HHOVMZ7EBM · pith_short_16: M4HHOVMZ7EBM4XGU · pith_short_8: M4HHOVMZ

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/M4HHOVMZ7EBM4XGUPPEFBJSFOM \
  | 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: 670e775599f902ce5cd47bc850a6457317611d045b8210ca195244edf71bf3f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc1aecd2d4258eecb58ab44b197d24d0610c4606138bb7a9682342438183139",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-05-31T20:57:02Z",
    "title_canon_sha256": "e70c27259013d0074a677a7b64870a2ce2fa270f10cc7ce6bbb5167168d461c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0606002",
    "kind": "arxiv",
    "version": 2
  }
}