Pith Number

pith:II3NDCUN

pith:2017:II3NDCUN6CA4DXOWHAFLQ5C57L

not attested not anchored not stored refs pending

Observable set, observability, interpolation inequality and spectral inequality for the heat equation in $\mathbb{R}^n$

Can Zhang, Gengsheng Wang, Ming Wang, Yubiao Zhang

arxiv:1711.04279 v2 · 2017-11-12 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{II3NDCUN6CA4DXOWHAFLQ5C57L}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:29:24.265583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4236d18a8df081c1ddd6380ab8745dfae853511c51260a105161af7bddfe631c

Aliases

arxiv: 1711.04279 · arxiv_version: 1711.04279v2 · doi: 10.48550/arxiv.1711.04279 · pith_short_12: II3NDCUN6CA4 · pith_short_16: II3NDCUN6CA4DXOW · pith_short_8: II3NDCUN

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/II3NDCUN6CA4DXOWHAFLQ5C57L \
  | 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: 4236d18a8df081c1ddd6380ab8745dfae853511c51260a105161af7bddfe631c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "839c49b4585596150e7919c19cdd34b1ca877220230f9dd37b00438b4123df2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-11-12T11:58:06Z",
    "title_canon_sha256": "db6dc81dbea2bbeb0c27dad67ce807fabfa29a66faba6d4000d550c1f7bb9848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04279",
    "kind": "arxiv",
    "version": 2
  }
}