Pith Number

pith:DHBUJOFT

pith:2015:DHBUJOFTFIPCYWBAXM7PK7CATM

not attested not anchored not stored refs pending

Hill-type formula and Krein-type trace formula for $S$-periodic solutions in ODEs

Penghui Wang, Xijun Hu

arxiv:1504.01815 v1 · 2015-04-08 · math.SP · math.DS · 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{DHBUJOFTFIPCYWBAXM7PK7CATM}

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	2026-05-18T02:19:18.219843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19c344b8b32a1e2c5820bb3ef57c409b27594134e03822adab565610c4cc7cb0

Aliases

arxiv: 1504.01815 · arxiv_version: 1504.01815v1 · doi: 10.48550/arxiv.1504.01815 · pith_short_12: DHBUJOFTFIPC · pith_short_16: DHBUJOFTFIPCYWBA · pith_short_8: DHBUJOFT

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/DHBUJOFTFIPCYWBAXM7PK7CATM \
  | 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: 19c344b8b32a1e2c5820bb3ef57c409b27594134e03822adab565610c4cc7cb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ca2028a7c0c60514b97098ac5ec992185dc2d6b64009a18e4a389947c0a7ddc",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-04-08T03:09:34Z",
    "title_canon_sha256": "dbbdfa0faf50d66d053d130fe9b1956cbad4ec7e4de4c54f09477d411a053408"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01815",
    "kind": "arxiv",
    "version": 1
  }
}