Pith Number

pith:SOM527XI

pith:2014:SOM527XIAM7VW3ZB4EJRVG3WY7

not attested not anchored not stored refs pending

Spectra for semiclassical operators with periodic bicharacteristics in dimension two

Johannes Sjoestrand, Michael A. Hall, Michael Hitrik

arxiv:1401.3371 v1 · 2014-01-14 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOM527XIAM7VW3ZB4EJRVG3WY7}

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	2026-05-18T03:02:09.502671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9399dd7ee8033f5b6f21e1131a9b76c7d01650cb2e0bf66a0834afeddb7823f2

Aliases

arxiv: 1401.3371 · arxiv_version: 1401.3371v1 · doi: 10.48550/arxiv.1401.3371 · pith_short_12: SOM527XIAM7V · pith_short_16: SOM527XIAM7VW3ZB · pith_short_8: SOM527XI

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/SOM527XIAM7VW3ZB4EJRVG3WY7 \
  | 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: 9399dd7ee8033f5b6f21e1131a9b76c7d01650cb2e0bf66a0834afeddb7823f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c23554c3234561b32555b62fcc6e384de5f50b2708554e224fc91da875599a14",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-01-14T22:00:17Z",
    "title_canon_sha256": "92da04625472b25f7312a0cedba013f7fbf7c809e4186e95de960fd20b62ecaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3371",
    "kind": "arxiv",
    "version": 1
  }
}