Pith Number

pith:3UXMCRIE

pith:2018:3UXMCRIEU2SR4S2E3MHPASNOYR

not attested not anchored not stored refs pending

Observability and Control Property for a Singular Heat Equation with Variable Coefficients

Shumin Li, Xue Qin

arxiv:1811.05780 v1 · 2018-11-13 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UXMCRIEU2SR4S2E3MHPASNOYR}

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	2026-05-18T00:00:42.108686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2ec14504a6a51e4b44db0ef049aec44c30d3bac891be3bfd03996b83875201

Aliases

arxiv: 1811.05780 · arxiv_version: 1811.05780v1 · doi: 10.48550/arxiv.1811.05780 · pith_short_12: 3UXMCRIEU2SR · pith_short_16: 3UXMCRIEU2SR4S2E · pith_short_8: 3UXMCRIE

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/3UXMCRIEU2SR4S2E3MHPASNOYR \
  | 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: dd2ec14504a6a51e4b44db0ef049aec44c30d3bac891be3bfd03996b83875201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbad8428d72593930bbac43b3e694f22b3a1229ac2bb5b0ff2f14b1aca3ba746",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-13T08:03:06Z",
    "title_canon_sha256": "a9065566693f000c31379ecf27d80e11a0fbf95981632be3daa5fec24d9c287e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.05780",
    "kind": "arxiv",
    "version": 1
  }
}