Pith Number

pith:NFQ5NTKA

pith:2005:NFQ5NTKAF66KEL6OF3RG6FVZG3

not attested not anchored not stored refs pending

Notes on GIT and symplectic reduction for bundles and varieties

R. P. Thomas

arxiv:math/0512411 v3 · 2005-12-17 · math.AG · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFQ5NTKAF66KEL6OF3RG6FVZG3}

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

The Geometry Underlying the Quantum Harmonic Oscillator

Receipt and verification

First computed	2026-07-04T14:59:05.293218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6961d6cd402fbca22fce2ee26f16b936f6a757c01580fcae70061be6432a8ed4

Aliases

arxiv: math/0512411 · arxiv_version: math/0512411v3 · doi: 10.48550/arxiv.math/0512411 · pith_short_12: NFQ5NTKAF66K · pith_short_16: NFQ5NTKAF66KEL6O · pith_short_8: NFQ5NTKA

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/NFQ5NTKAF66KEL6OF3RG6FVZG3 \
  | 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: 6961d6cd402fbca22fce2ee26f16b936f6a757c01580fcae70061be6432a8ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c805d257028008daae8c3400d4d0f8b9bca01af7d61b234e0a1db4d132d7b150",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-12-17T12:19:41Z",
    "title_canon_sha256": "88ef60396508071665fa5cc32311fc2a7b914989c2a3fb52310bb9859cf975b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512411",
    "kind": "arxiv",
    "version": 3
  }
}