Pith Number

pith:HGRHWC3M

pith:2017:HGRHWC3MULWISCIBVOLJXMOUVL

not attested not anchored not stored refs pending

Optimal shape design for 2D heat equations in large time

Can Zhang, Emmanuel Trelat, Enrique Zuazua

arxiv:1705.02764 v1 · 2017-05-08 · 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{HGRHWC3MULWISCIBVOLJXMOUVL}

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	2026-05-18T00:44:53.691258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39a27b0b6ca2ec890901ab969bb1d4aaf29cc9228eedec81f5e8f906ce608ee1

Aliases

arxiv: 1705.02764 · arxiv_version: 1705.02764v1 · doi: 10.48550/arxiv.1705.02764 · pith_short_12: HGRHWC3MULWI · pith_short_16: HGRHWC3MULWISCIB · pith_short_8: HGRHWC3M

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/HGRHWC3MULWISCIBVOLJXMOUVL \
  | 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: 39a27b0b6ca2ec890901ab969bb1d4aaf29cc9228eedec81f5e8f906ce608ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8177c70283dd91a1432ade7d2147a5c5d338921a4901661cfe610fa942e5570a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-05-08T07:15:48Z",
    "title_canon_sha256": "1cf1893aa317a8c667a979e8424e620c4103df3a564c5a2f6b29f96f76d646fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02764",
    "kind": "arxiv",
    "version": 1
  }
}