Pith Number

pith:F2KSBSNH

pith:2017:F2KSBSNHNJ3FZ7PIAY3HSFECCS

not attested not anchored not stored refs pending

Explicit bounds for Lipschitz constant of solution to basic problem in calculus of variations

Georgi Smirnov, Miguel Oliveira

arxiv:1712.04825 v1 · 2017-12-13 · 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{F2KSBSNHNJ3FZ7PIAY3HSFECCS}

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	2026-05-18T00:28:03.376402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e9520c9a76a765cfde80636791482149955b0286c649a3fec36c899fbc32019

Aliases

arxiv: 1712.04825 · arxiv_version: 1712.04825v1 · doi: 10.48550/arxiv.1712.04825 · pith_short_12: F2KSBSNHNJ3F · pith_short_16: F2KSBSNHNJ3FZ7PI · pith_short_8: F2KSBSNH

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/F2KSBSNHNJ3FZ7PIAY3HSFECCS \
  | 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: 2e9520c9a76a765cfde80636791482149955b0286c649a3fec36c899fbc32019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c81b8fb4aaa1aa7f9ad917761845786545a1abaa014f5a91f9fe66af69dd5f67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-12-13T15:47:55Z",
    "title_canon_sha256": "f77a6cbe70f77cd03b48275e31475cd88f5251ff3953c35e75648d43e0fe55c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04825",
    "kind": "arxiv",
    "version": 1
  }
}