Pith Number

pith:TMBURF43

pith:2015:TMBURF43JTOS7ROQN7ZDCRRFSF

not attested not anchored not stored refs pending

Bellman partial differential equation and the hill property for classical isoperimetric problems

Alexander Volberg, Paata Ivanisvili

arxiv:1506.03409 v2 · 2015-06-10 · 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{TMBURF43JTOS7ROQN7ZDCRRFSF}

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	2026-05-18T01:35:22.181337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0348979b4cdd2fc5d06ff231462591651166441aba0015dc0481bd8b60d52d

Aliases

arxiv: 1506.03409 · arxiv_version: 1506.03409v2 · doi: 10.48550/arxiv.1506.03409 · pith_short_12: TMBURF43JTOS · pith_short_16: TMBURF43JTOS7ROQ · pith_short_8: TMBURF43

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/TMBURF43JTOS7ROQN7ZDCRRFSF \
  | 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: 9b0348979b4cdd2fc5d06ff231462591651166441aba0015dc0481bd8b60d52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "288e016c36efc0495c4d91f7209f2eb2d5638b714d9a4448d45846822bf6493b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-10T17:54:24Z",
    "title_canon_sha256": "4279370d6ceadbc0f8b92c2b83be2d37eae236ecf9366f47269ea0dca740becc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03409",
    "kind": "arxiv",
    "version": 2
  }
}