Pith Number

pith:I2BQK3RT

pith:2009:I2BQK3RTHKACAO2N2PHS2RTCKB

not attested not anchored not stored refs pending

On synthetic interpretation of quantum principal bundles

Tomasz Brzezi\'nski

arxiv:0912.0213 v1 · 2009-12-01 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2BQK3RTHKACAO2N2PHS2RTCKB}

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.

Receipt and verification

First computed	2026-07-04T17:16:52.387608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4683056e333a80203b4dd3cf2d466250544ea545ad6dfbeb3153c1fa12bab8df

Aliases

arxiv: 0912.0213 · arxiv_version: 0912.0213v1 · doi: 10.48550/arxiv.0912.0213 · pith_short_12: I2BQK3RTHKAC · pith_short_16: I2BQK3RTHKACAO2N · pith_short_8: I2BQK3RT

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/I2BQK3RTHKACAO2N2PHS2RTCKB \
  | 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: 4683056e333a80203b4dd3cf2d466250544ea545ad6dfbeb3153c1fa12bab8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4825539af7a3b22a68a9a3187f08c2ac61df116e6953f934dcdf2c2e3a1d89fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-12-01T17:29:57Z",
    "title_canon_sha256": "d16085f31c12c34eded370f5ab577b447d6c5bc3fc80ccad79e9d6ddcc941e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0213",
    "kind": "arxiv",
    "version": 1
  }
}