Pith Number

pith:JPHLLKNC

pith:1994:JPHLLKNC7CN6LUNFPZJ7DWAXG2

not attested not anchored not stored refs pending

Translation map in quantum principal bundles

Tomasz Brzezinski

arxiv:hep-th/9407145 v2 · 1994-07-22 · hep-th · 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{JPHLLKNC7CN6LUNFPZJ7DWAXG2}

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	2026-07-04T15:57:49.217209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bceb5a9a2f89be5d1a57e53f1d81736afcb75d4fe8aacb7f4e5d0e398e80d2e

Aliases

arxiv: hep-th/9407145 · arxiv_version: hep-th/9407145v2 · doi: 10.48550/arxiv.hep-th/9407145 · pith_short_12: JPHLLKNC7CN6 · pith_short_16: JPHLLKNC7CN6LUNF · pith_short_8: JPHLLKNC

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/JPHLLKNC7CN6LUNFPZJ7DWAXG2 \
  | 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: 4bceb5a9a2f89be5d1a57e53f1d81736afcb75d4fe8aacb7f4e5d0e398e80d2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0628f7ba6114b71263a903f2af8062ac2ccdf5b1db727e1f46b8aea8c7c6e566",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1994-07-22T12:18:18Z",
    "title_canon_sha256": "8fbec3e284ab0845a703919e57e8754aa2e3fab48ddebde986b434fb2a14a099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9407145",
    "kind": "arxiv",
    "version": 2
  }
}