Pith Number

pith:W4DIFDF4

pith:2003:W4DIFDF4GQO2HSU6ZYO7FWT3RE

not attested not anchored not stored refs pending

The spectrum of twisted Dirac operators on compact flat manifolds

Ricardo Podesta, Roberto Miatello

arxiv:math/0312004 v2 · 2003-11-28 · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4DIFDF4GQO2HSU6ZYO7FWT3RE}

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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.

Cited by

1 paper in Pith

Supersymmetry-breaking compactifications on Riemann-flat manifolds

Receipt and verification

First computed	2026-07-04T14:38:02.593967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b706828cbc341da3ca9ece1df2da7b890e04db58d2a4d37618bf04f7893b5427

Aliases

arxiv: math/0312004 · arxiv_version: math/0312004v2 · doi: 10.48550/arxiv.math/0312004 · pith_short_12: W4DIFDF4GQO2 · pith_short_16: W4DIFDF4GQO2HSU6 · pith_short_8: W4DIFDF4

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/W4DIFDF4GQO2HSU6ZYO7FWT3RE \
  | 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: b706828cbc341da3ca9ece1df2da7b890e04db58d2a4d37618bf04f7893b5427

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bf7411f13c2d9c7f129b649398d29f5d3af33409b53fb5737cb21740786065f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2003-11-28T23:26:30Z",
    "title_canon_sha256": "fdc4e50fccb40ca9fc3d545489d84d14e678c75e9bc2e7ac3fd8384c37d714eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312004",
    "kind": "arxiv",
    "version": 2
  }
}