Pith Number

pith:77MKQ4QR

pith:2014:77MKQ4QR4R3A3OUWA2JETCKVN6

not attested not anchored not stored refs pending

Optimal Venttsel Boundary Control of Parabolic Equations

Yousong Luo

arxiv:1411.1831 v1 · 2014-11-07 · 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{77MKQ4QR4R3A3OUWA2JETCKVN6}

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	2026-05-18T02:38:25.866487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd8a87211e4760dba9606924989556faae306fb6d261893b32494f654b51b9a

Aliases

arxiv: 1411.1831 · arxiv_version: 1411.1831v1 · doi: 10.48550/arxiv.1411.1831 · pith_short_12: 77MKQ4QR4R3A · pith_short_16: 77MKQ4QR4R3A3OUW · pith_short_8: 77MKQ4QR

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/77MKQ4QR4R3A3OUWA2JETCKVN6 \
  | 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: ffd8a87211e4760dba9606924989556faae306fb6d261893b32494f654b51b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87dfa41dc497d28144bafcc7355db8622e13c20373f5ba1b9f4dbe6e8d26d6ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-07T05:22:08Z",
    "title_canon_sha256": "d0981236df42b8b29b1425514deda668ff321388c9068cbeeaa3bccbde2a3ad6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1831",
    "kind": "arxiv",
    "version": 1
  }
}