Pith Number

pith:DND5TMBU

pith:2016:DND5TMBU2DPK5UU3XJXEFNL66K

not attested not anchored not stored refs pending

Bloch Theory for Periodic Block Spin Transformations

Eugene Trubowitz, Horst Kn\"orrer, Joel Feldman, Tadeusz Balaban

arxiv:1609.00964 v1 · 2016-09-04 · 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{DND5TMBU2DPK5UU3XJXEFNL66K}

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	2026-05-18T01:06:19.461789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b47d9b034d0deaed29bba6e42b57ef2ae14586c214e6f8391823bd63776d8a1

Aliases

arxiv: 1609.00964 · arxiv_version: 1609.00964v1 · doi: 10.48550/arxiv.1609.00964 · pith_short_12: DND5TMBU2DPK · pith_short_16: DND5TMBU2DPK5UU3 · pith_short_8: DND5TMBU

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/DND5TMBU2DPK5UU3XJXEFNL66K \
  | 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: 1b47d9b034d0deaed29bba6e42b57ef2ae14586c214e6f8391823bd63776d8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "300735698a4b84df3555263bd855dd5746bfd93ebd6ae61baa83f4e28ed1744c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-04T17:38:34Z",
    "title_canon_sha256": "638ea8456785343c91291e59b964a1b52cd7f38ba315188e5bb0a5544ac2083d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00964",
    "kind": "arxiv",
    "version": 1
  }
}