Pith Number

pith:TDYZ4TIW

pith:2011:TDYZ4TIW6PQUJKLRLWPRUGKF2A

not attested not anchored not stored refs pending

Analytical vectors and a new criterion of regularity for representation of canonical commutation relations algebra

M. N. Mnatsakanova, S. G. Salynskiy, Yu. S. Vernov

arxiv:1102.2417 v1 · 2011-02-11 · math-ph · hep-th · 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{TDYZ4TIW6PQUJKLRLWPRUGKF2A}

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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	2026-05-18T04:22:11.015517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f19e4d16f3e144a9715d9f1a1945d03099a5c878e7e9a042b8d3d0d4f161d9

Aliases

arxiv: 1102.2417 · arxiv_version: 1102.2417v1 · doi: 10.48550/arxiv.1102.2417 · pith_short_12: TDYZ4TIW6PQU · pith_short_16: TDYZ4TIW6PQUJKLR · pith_short_8: TDYZ4TIW

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/TDYZ4TIW6PQUJKLRLWPRUGKF2A \
  | 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: 98f19e4d16f3e144a9715d9f1a1945d03099a5c878e7e9a042b8d3d0d4f161d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddb0dbf3c5dbd8ff7b31c6f240a6a5b3764139fe8ccc3898b19d11ff9947f251",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-11T19:37:01Z",
    "title_canon_sha256": "b2da5be985291cba973a0923a1eaaf82ea00dfb653f94d507a11822ee4a84e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2417",
    "kind": "arxiv",
    "version": 1
  }
}