Pith Number

pith:7ADC5ZLX

pith:2012:7ADC5ZLXZDKPURSGNZEC3J3LH5

not attested not anchored not stored refs pending

Discrete Dirac system: rectangular Weyl functions, direct and inverse problems

A. L. Sakhnovich, B. Fritzsche, B. Kirstein, I. Roitberg

arxiv:1206.2915 v3 · 2012-06-12 · math.SP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ADC5ZLXZDKPURSGNZEC3J3LH5}

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	2026-05-18T01:00:40.951273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8062ee577c8d4fa46466e482da76b3f4ca06b44362449622852fedfd975356c

Aliases

arxiv: 1206.2915 · arxiv_version: 1206.2915v3 · doi: 10.48550/arxiv.1206.2915 · pith_short_12: 7ADC5ZLXZDKP · pith_short_16: 7ADC5ZLXZDKPURSG · pith_short_8: 7ADC5ZLX

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/7ADC5ZLXZDKPURSGNZEC3J3LH5 \
  | 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: f8062ee577c8d4fa46466e482da76b3f4ca06b44362449622852fedfd975356c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df364b117f3a52efcb9d47a6df9b7397ca8579151ccacaac8f940c186a35cfe",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-06-12T20:40:09Z",
    "title_canon_sha256": "c1d3e640a52218d2946dcfdac7d9063580bb788202c097594d26b129a6dfb18b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2915",
    "kind": "arxiv",
    "version": 3
  }
}