Pith Number

pith:DD7I4FS2

pith:2019:DD7I4FS2Z6KWZAJLBJEFYJZMLX

not attested not anchored not stored refs pending

A proof of the Bloch theorem for lattice models

Haruki Watanabe

arxiv:1904.02700 v3 · 2019-04-04 · cond-mat.stat-mech · 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{DD7I4FS2Z6KWZAJLBJEFYJZMLX}

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	2026-07-05T00:17:26.159491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18fe8e165acf956c812b0a485c272c5ded1060cc575a484929d26e783b40ea93

Aliases

arxiv: 1904.02700 · arxiv_version: 1904.02700v3 · doi: 10.48550/arxiv.1904.02700 · pith_short_12: DD7I4FS2Z6KW · pith_short_16: DD7I4FS2Z6KWZAJL · pith_short_8: DD7I4FS2

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/DD7I4FS2Z6KWZAJLBJEFYJZMLX \
  | 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: 18fe8e165acf956c812b0a485c272c5ded1060cc575a484929d26e783b40ea93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e341f7fb8a6b1f3ab4dbc4f1329379d66f7da788f14560778c681e575644915",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2019-04-04T17:57:57Z",
    "title_canon_sha256": "d5b7066a7759fa47b60bff294eef2bde35f64aed97a75a392bb5d349c91d88f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02700",
    "kind": "arxiv",
    "version": 3
  }
}