Pith Number

pith:DQ7QZD6L

pith:2013:DQ7QZD6L2TMCD5Z3S6LNCQTVFF

not attested not anchored not stored refs pending

Schr\"odinger operators on periodic discrete graphs

Evgeny Korotyaev, Natalia Saburova

arxiv:1307.1841 v2 · 2013-07-07 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQ7QZD6L2TMCD5Z3S6LNCQTVFF}

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	2026-05-18T03:04:06.440114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c3f0c8fcbd4d821f73b9796d14275295a1ae3e70d034d935441d70926d94d75

Aliases

arxiv: 1307.1841 · arxiv_version: 1307.1841v2 · doi: 10.48550/arxiv.1307.1841 · pith_short_12: DQ7QZD6L2TMC · pith_short_16: DQ7QZD6L2TMCD5Z3 · pith_short_8: DQ7QZD6L

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/DQ7QZD6L2TMCD5Z3S6LNCQTVFF \
  | 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: 1c3f0c8fcbd4d821f73b9796d14275295a1ae3e70d034d935441d70926d94d75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93a80eb7fe65f47af383387ef1ded6c243d7689602a1a2efde4e324f8958a5cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-07-07T09:09:35Z",
    "title_canon_sha256": "f9f1d94e6375c1ca35e9b0b963b95479507036e19d04f6eae2774e84404c6625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1841",
    "kind": "arxiv",
    "version": 2
  }
}