Pith Number

pith:PBQPOSEZ

pith:2017:PBQPOSEZWBIEATAKALGGEMTWPA

not attested not anchored not stored refs pending

The planar Least Gradient problem in convex domains

Ahmad Sabra, Piotr Rybka

arxiv:1712.07150 v1 · 2017-12-19 · 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{PBQPOSEZWBIEATAKALGGEMTWPA}

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	2026-05-18T00:27:35.445882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7860f74899b050404c0a02cc623276780d8220bd0ae0c5085e0b76673c5e02ce

Aliases

arxiv: 1712.07150 · arxiv_version: 1712.07150v1 · doi: 10.48550/arxiv.1712.07150 · pith_short_12: PBQPOSEZWBIE · pith_short_16: PBQPOSEZWBIEATAK · pith_short_8: PBQPOSEZ

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/PBQPOSEZWBIEATAKALGGEMTWPA \
  | 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: 7860f74899b050404c0a02cc623276780d8220bd0ae0c5085e0b76673c5e02ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a337dbb4b0bb65106a260f54caa39f8bbd1a9e134d592f83109c58de4fa1b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-19T19:08:03Z",
    "title_canon_sha256": "30ded01aae9a9f0f4a784b6e5e589fa10fb5aa688a9c096d594ccf142f4432e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07150",
    "kind": "arxiv",
    "version": 1
  }
}