Pith Number

pith:TZVMR7LF

pith:2004:TZVMR7LFYS2DJBAW66A3HEEKYJ

not attested not anchored not stored refs pending

U(1) gauge invariant noncommutative Schr\"odinger theory and gravity

B. Muthukumar

arxiv:hep-th/0412069 v1 · 2004-12-07 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZVMR7LFYS2DJBAW66A3HEEKYJ}

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

Can Non-Relativistic Strings Propagate Without Geometric Baggage?

Receipt and verification

First computed	2026-07-04T16:49:07.019730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6ac8fd65c4b4348416f781b3908ac268f57c371c52a6924c4609b89a181041

Aliases

arxiv: hep-th/0412069 · arxiv_version: hep-th/0412069v1 · doi: 10.48550/arxiv.hep-th/0412069 · pith_short_12: TZVMR7LFYS2D · pith_short_16: TZVMR7LFYS2DJBAW · pith_short_8: TZVMR7LF

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/TZVMR7LFYS2DJBAW66A3HEEKYJ \
  | 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: 9e6ac8fd65c4b4348416f781b3908ac268f57c371c52a6924c4609b89a181041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "846ccfe08038941ad2638277012b12740d11325495302d826fdde3032491d90c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-07T15:45:54Z",
    "title_canon_sha256": "d2674a3ffe2a5e6bb1961177a837a9af191f6f18bc25681acd3245370d1c5444"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412069",
    "kind": "arxiv",
    "version": 1
  }
}