Pith Number

pith:QFJI3QA4

pith:2013:QFJI3QA4AWJDZK5PIP6VX7RUDS

not attested not anchored not stored refs pending

Quantum error-correcting codes and 4-dimensional arithmetic hyperbolic manifolds

Alexander Lubotzky, Larry Guth

arxiv:1310.5555 v1 · 2013-10-21 · 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{QFJI3QA4AWJDZK5PIP6VX7RUDS}

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

A diagrammatic field theory of quantum error correction

Receipt and verification

First computed	2026-05-18T01:46:56.948376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81528dc01c05923cabaf43fd5bfe341c9fd7659ae1d999611a4a1408fb6144e4

Aliases

arxiv: 1310.5555 · arxiv_version: 1310.5555v1 · doi: 10.48550/arxiv.1310.5555 · pith_short_12: QFJI3QA4AWJD · pith_short_16: QFJI3QA4AWJDZK5P · pith_short_8: QFJI3QA4

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/QFJI3QA4AWJDZK5PIP6VX7RUDS \
  | 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: 81528dc01c05923cabaf43fd5bfe341c9fd7659ae1d999611a4a1408fb6144e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52aafade97e2d953203257ffe75d3ba3cd618f3c094803656ef1c05e4e204a44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-21T14:14:31Z",
    "title_canon_sha256": "976cb69a5d189ea56696ab1d79e7d130205f54463e7a2bdc2c1680fd19fb29f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5555",
    "kind": "arxiv",
    "version": 1
  }
}