Pith Number

pith:AVEVPMKD

pith:2018:AVEVPMKD2NHZUF3HADKCZ5ERFO

not attested not anchored not stored refs pending

Asymptotic observability identity for the heat equation in R^d

Gengsheng Wang, Ming Wang, Yubiao Zhang

arxiv:1810.10849 v1 · 2018-10-25 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVEVPMKD2NHZUF3HADKCZ5ERFO}

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	2026-05-18T00:02:19.023652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054957b143d34f9a176700d42cf4912bb1bdee1315fd6394f52a8909f679634e

Aliases

arxiv: 1810.10849 · arxiv_version: 1810.10849v1 · doi: 10.48550/arxiv.1810.10849 · pith_short_12: AVEVPMKD2NHZ · pith_short_16: AVEVPMKD2NHZUF3H · pith_short_8: AVEVPMKD

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/AVEVPMKD2NHZUF3HADKCZ5ERFO \
  | 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: 054957b143d34f9a176700d42cf4912bb1bdee1315fd6394f52a8909f679634e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c78cb96539e19525224162b31f79460f206f4acbbf5d86c6a5d5923d60e588",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-25T12:50:27Z",
    "title_canon_sha256": "c6cf14e72288c48f8cb394e43a874988a4f77f91a2a715a3383cd260614b55e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10849",
    "kind": "arxiv",
    "version": 1
  }
}