Pith Number

pith:N5WAR4VB

pith:2009:N5WAR4VBUCZ3YPVH2TZCWN6GGV

not attested not anchored not stored refs pending

Random Dirac operators with time-reversal symmetry

Christian Sadel, Hermann Schulz-Baldes

arxiv:0902.1935 v2 · 2009-02-11 · 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{N5WAR4VBUCZ3YPVH2TZCWN6GGV}

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	2026-05-18T04:31:12.198807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f6c08f2a1a0b3bc3ea7d4f22b37c6354de80bc9961f8b80bc6e0b6af761e35f

Aliases

arxiv: 0902.1935 · arxiv_version: 0902.1935v2 · doi: 10.48550/arxiv.0902.1935 · pith_short_12: N5WAR4VBUCZ3 · pith_short_16: N5WAR4VBUCZ3YPVH · pith_short_8: N5WAR4VB

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/N5WAR4VBUCZ3YPVH2TZCWN6GGV \
  | 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: 6f6c08f2a1a0b3bc3ea7d4f22b37c6354de80bc9961f8b80bc6e0b6af761e35f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a4d0f5c81e08ad84ce0789ef721cc9557f030d751950363dd6b3b10aa7c8e6",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-02-11T16:40:23Z",
    "title_canon_sha256": "88a2e053e57d3f52c70384052712b08b5de14309f30cccbd438ffbcefb509aca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1935",
    "kind": "arxiv",
    "version": 2
  }
}