Pith Number

pith:5BHDMNS5

pith:2022:5BHDMNS56PRGVLIKMKOAYO36TY

not attested not anchored not stored refs pending

Inverse problems for fractional equations with a minimal number of measurements

Hongyu Liu, Yi-Hsuan Lin

arxiv:2203.03010 v2 · 2022-03-06 · 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{5BHDMNS56PRGVLIKMKOAYO36TY}

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	2026-07-05T04:30:21.461106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84e36365df3e26aad0a629c0c3b7e9e2cd55895b8fde703061fc52bb909fbc8

Aliases

arxiv: 2203.03010 · arxiv_version: 2203.03010v2 · doi: 10.48550/arxiv.2203.03010 · pith_short_12: 5BHDMNS56PRG · pith_short_16: 5BHDMNS56PRGVLIK · pith_short_8: 5BHDMNS5

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/5BHDMNS56PRGVLIKMKOAYO36TY \
  | 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: e84e36365df3e26aad0a629c0c3b7e9e2cd55895b8fde703061fc52bb909fbc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b2fd9b79c11b7463648c37e9cbdc79ceb3c2e6f4f579d04fe45f66fbe31aea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-03-06T17:08:05Z",
    "title_canon_sha256": "0456ba890104255ff4ec50e2dd19354988a67103e542f1e1a346f1122230e8ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.03010",
    "kind": "arxiv",
    "version": 2
  }
}