Pith Number

pith:KXY6POHO

pith:2016:KXY6POHO3HAHM3WKJBQIP7MDZV

not attested not anchored not stored refs pending

Characterization of self-adjoint extensions for discrete symplectic systems

Petr Zem\'anek, Stephen Clark

arxiv:1608.07786 v1 · 2016-08-28 · 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{KXY6POHO3HAHM3WKJBQIP7MDZV}

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	2026-05-18T01:07:49.916228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f1e7b8eed9c0766eca486087fd83cd7a04b26a316cc394582fd43ea2c17d76

Aliases

arxiv: 1608.07786 · arxiv_version: 1608.07786v1 · doi: 10.48550/arxiv.1608.07786 · pith_short_12: KXY6POHO3HAH · pith_short_16: KXY6POHO3HAHM3WK · pith_short_8: KXY6POHO

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/KXY6POHO3HAHM3WKJBQIP7MDZV \
  | 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: 55f1e7b8eed9c0766eca486087fd83cd7a04b26a316cc394582fd43ea2c17d76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc3182524ebcb60a717ef74ada3948656d236b62bb022f7fed6034040698038e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-08-28T09:04:44Z",
    "title_canon_sha256": "f968fd9e61cf91e1afe7152156f3d7f86b88abdea5d678b47928f334cce9dd2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07786",
    "kind": "arxiv",
    "version": 1
  }
}