Pith Number

pith:HCKV5JXY

pith:2024:HCKV5JXYK3XWHTZQXMZPF2FQ3K

not attested not anchored not stored refs pending

Sampling Observability for Heat Equations with Memory

Gengsheng Wang, Lingying Ma, Yubiao Zhang

arxiv:2411.14382 v1 · 2024-11-21 · math.OC · 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{HCKV5JXYK3XWHTZQXMZPF2FQ3K}

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	2026-07-05T09:38:46.136324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38955ea6f856ef63cf30bb32f2e8b0daab74d632f3df41a493c6d0544f33af50

Aliases

arxiv: 2411.14382 · arxiv_version: 2411.14382v1 · doi: 10.48550/arxiv.2411.14382 · pith_short_12: HCKV5JXYK3XW · pith_short_16: HCKV5JXYK3XWHTZQ · pith_short_8: HCKV5JXY

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/HCKV5JXYK3XWHTZQXMZPF2FQ3K \
  | 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: 38955ea6f856ef63cf30bb32f2e8b0daab74d632f3df41a493c6d0544f33af50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e448d15fcc1837e217f024ba0aceb6241ee097dce725ca2505ea6d6ff40c4e1b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-11-21T18:17:45Z",
    "title_canon_sha256": "51267199bba2fd91dec377c12c7eff799cca061da19724d43d163b1a2ae76659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14382",
    "kind": "arxiv",
    "version": 1
  }
}