Pith Number

pith:AN5TXRC4

pith:2021:AN5TXRC4Y6GCET2A23GPNFHPZ2

not attested not anchored not stored refs pending

Simultaneous recoveries for semilinear parabolic systems

Hongyu Liu, Shen Zhang, Xu Liu, Yi-Hsuan Lin

arxiv:2111.05242 v1 · 2021-11-09 · 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{AN5TXRC4Y6GCET2A23GPNFHPZ2}

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	2026-07-05T05:05:28.492665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

037b3bc45cc78c224f40d6ccf694efce8fa3097e91ab8747d83d0c2b43c6427a

Aliases

arxiv: 2111.05242 · arxiv_version: 2111.05242v1 · doi: 10.48550/arxiv.2111.05242 · pith_short_12: AN5TXRC4Y6GC · pith_short_16: AN5TXRC4Y6GCET2A · pith_short_8: AN5TXRC4

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/AN5TXRC4Y6GCET2A23GPNFHPZ2 \
  | 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: 037b3bc45cc78c224f40d6ccf694efce8fa3097e91ab8747d83d0c2b43c6427a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30c0aa1fb860675fa9cd710fe30c447ba5af45786a1d2b736964e56e1bf30ea4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-09T16:27:14Z",
    "title_canon_sha256": "1d1f11dc3f9b65e0f2f3983d0183119f9a66239e312b22d92521c4394e8ad686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05242",
    "kind": "arxiv",
    "version": 1
  }
}