Pith Number

pith:WCBC5GDV

pith:2018:WCBC5GDV3BRYRBM2JKTC6JCUTN

not attested not anchored not stored refs pending

Determining a fractional Helmholtz system with unknown source and medium parameter

Hongyu Liu, Xinlin Cao

arxiv:1803.09538 v1 · 2018-03-26 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCBC5GDV3BRYRBM2JKTC6JCUTN}

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	2026-05-18T00:20:11.199868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0822e9875d86388859a4aa62f24549b45962a4e83a663c4bef17b559bf96f99

Aliases

arxiv: 1803.09538 · arxiv_version: 1803.09538v1 · doi: 10.48550/arxiv.1803.09538 · pith_short_12: WCBC5GDV3BRY · pith_short_16: WCBC5GDV3BRYRBM2 · pith_short_8: WCBC5GDV

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/WCBC5GDV3BRYRBM2JKTC6JCUTN \
  | 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: b0822e9875d86388859a4aa62f24549b45962a4e83a663c4bef17b559bf96f99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ebe2d74369c0b2a35b431b49a88df8f13b57cd83e483ce4233d9206e31d9a5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-26T12:13:59Z",
    "title_canon_sha256": "d33438b4d5af8162ac21c6e0e36a408ddaee98a8cf3dd46521e27766e42ec999"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09538",
    "kind": "arxiv",
    "version": 1
  }
}