Pith Number

pith:CHHRZEWZ

pith:2011:CHHRZEWZQSZ333CJXTWYBUBMR2

not attested not anchored not stored refs pending

Classical Equivalence and Quantum Equivalence of Magnetic Fields on Flat Tori

Carolyn Gordon, David Webb, Dorothee Schueth, William Kirwin

arxiv:1108.5113 v1 · 2011-08-25 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHHRZEWZQSZ333CJXTWYBUBMR2}

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	2026-05-18T04:14:45.370365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11cf1c92d984b3bdec49bced80d02c8ea0289609e3bda9a5725ffb0f8c22fea2

Aliases

arxiv: 1108.5113 · arxiv_version: 1108.5113v1 · doi: 10.48550/arxiv.1108.5113 · pith_short_12: CHHRZEWZQSZ3 · pith_short_16: CHHRZEWZQSZ333CJ · pith_short_8: CHHRZEWZ

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/CHHRZEWZQSZ333CJXTWYBUBMR2 \
  | 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: 11cf1c92d984b3bdec49bced80d02c8ea0289609e3bda9a5725ffb0f8c22fea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbcb3eced7aca3c3fbef3f0387f797d0d603a1a657ddf2a53c0ffc70d22c04c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-08-25T15:10:40Z",
    "title_canon_sha256": "dfc2b4cc98966c4157adcdb32c6314b191b4aabc68cb99ddf62cb8fd15d40845"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5113",
    "kind": "arxiv",
    "version": 1
  }
}