Pith Number

pith:HNOQQ6IQ

pith:2013:HNOQQ6IQIBUYFEN2RSYIZOBESL

not attested not anchored not stored refs pending

A Herman-Avila-Bochi formula for higher dimensional pseudo-unitary and hermitian-symplectic cocycles

Christian Sadel

arxiv:1307.8414 v2 · 2013-07-31 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNOQQ6IQIBUYFEN2RSYIZOBESL}

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	2026-05-18T03:16:50.823084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b5d08791040698291ba8cb08cb82492c329190993e3ac5a533481d1ab158e73

Aliases

arxiv: 1307.8414 · arxiv_version: 1307.8414v2 · doi: 10.48550/arxiv.1307.8414 · pith_short_12: HNOQQ6IQIBUY · pith_short_16: HNOQQ6IQIBUYFEN2 · pith_short_8: HNOQQ6IQ

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/HNOQQ6IQIBUYFEN2RSYIZOBESL \
  | 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: 3b5d08791040698291ba8cb08cb82492c329190993e3ac5a533481d1ab158e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86d40a107dc94102d6997886ee1e02bd01d9de028de1e57bfb9a706d8b814d7c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-07-31T18:14:48Z",
    "title_canon_sha256": "3cb28c24eaa1464dfe5e0213d82cfe582370bc987d5791b0da6a28c13514b893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8414",
    "kind": "arxiv",
    "version": 2
  }
}