Pith Number

pith:NZXI2EO5

pith:2013:NZXI2EO5QXTASN2ZMVSJ3VQYHV

not attested not anchored not stored refs pending

On symplectic self-adjointness of Hamiltonian operator matrices

Alatancang Chen, Deyu Wu, Guohai Jin

arxiv:1305.5910 v5 · 2013-05-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZXI2EO5QXTASN2ZMVSJ3VQYHV}

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	2026-05-18T03:13:12.477574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e6e8d11dd85e609375965649dd6183d502eb8d7391f21c37d89142d529f3a46

Aliases

arxiv: 1305.5910 · arxiv_version: 1305.5910v5 · doi: 10.48550/arxiv.1305.5910 · pith_short_12: NZXI2EO5QXTA · pith_short_16: NZXI2EO5QXTASN2Z · pith_short_8: NZXI2EO5

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/NZXI2EO5QXTASN2ZMVSJ3VQYHV \
  | 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: 6e6e8d11dd85e609375965649dd6183d502eb8d7391f21c37d89142d529f3a46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "298660dd51b40a6a9261887b1a9d8fa1151f9fcec65d257343c7560a27d94c4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-25T11:32:22Z",
    "title_canon_sha256": "644e59411093d8c3c1d1d471c1465b2968b99a14d5c1b5d567681f2823324333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5910",
    "kind": "arxiv",
    "version": 5
  }
}