Pith Number

pith:V2C73K7R

pith:2018:V2C73K7RKSK3MIFD6CQCICNRHD

not attested not anchored not stored refs pending

New Direct Numerical Methods for Some Multidimensional Problems of the Calculus of Variations

M.V. Dolgopolik

arxiv:1809.10654 v2 · 2018-09-27 · 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{V2C73K7RKSK3MIFD6CQCICNRHD}

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	2026-05-17T23:52:24.084453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae85fdabf15495b620a3f0a02409b138c3295d4628a49246f23fb094cafe245d

Aliases

arxiv: 1809.10654 · arxiv_version: 1809.10654v2 · doi: 10.48550/arxiv.1809.10654 · pith_short_12: V2C73K7RKSK3 · pith_short_16: V2C73K7RKSK3MIFD · pith_short_8: V2C73K7R

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/V2C73K7RKSK3MIFD6CQCICNRHD \
  | 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: ae85fdabf15495b620a3f0a02409b138c3295d4628a49246f23fb094cafe245d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0aa5b5f8b3362c0922aba60d8e4345d73230a0f0ce7da9bf0bdac937fd6a8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-27T17:30:24Z",
    "title_canon_sha256": "7f7662724d1d4fcd22cff4256beaaa7a2bcf2f1d583262ce1496e1b000b0cf25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10654",
    "kind": "arxiv",
    "version": 2
  }
}