Pith Number

pith:66YAOE7M

pith:2014:66YAOE7MLUD33XZ7ZSEAWKJ3CF

not attested not anchored not stored refs pending

A Course on Noncommutative Geometry in String Theory

Ralph Blumenhagen

arxiv:1403.4805 v2 · 2014-03-19 · hep-th · 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{66YAOE7MLUD33XZ7ZSEAWKJ3CF}

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

Covariant phase space approach to noncommutativity in tensile and tensionless open strings

Receipt and verification

First computed	2026-05-18T01:22:24.255250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7b00713ec5d07bddf3fcc880b293b11612c2983d7ffeb53efe81b2eb53962de

Aliases

arxiv: 1403.4805 · arxiv_version: 1403.4805v2 · doi: 10.48550/arxiv.1403.4805 · pith_short_12: 66YAOE7MLUD3 · pith_short_16: 66YAOE7MLUD33XZ7 · pith_short_8: 66YAOE7M

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/66YAOE7MLUD33XZ7ZSEAWKJ3CF \
  | 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: f7b00713ec5d07bddf3fcc880b293b11612c2983d7ffeb53efe81b2eb53962de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49921096fe67f62f6b56e0314671b55173702d574917f4a11f022c0bfa05bc76",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-03-19T14:11:24Z",
    "title_canon_sha256": "8e95e41637ccd59576cc3b60510852c424ba0495305219dad10ea3484b0d6bfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4805",
    "kind": "arxiv",
    "version": 2
  }
}