Pith Number

pith:32R2XVFI

pith:2016:32R2XVFIMF27WD6IGGQBLVDJ2C

not attested not anchored not stored refs pending

A duality theory for non-convex problems in the Calculus of Variations

Guy Bouchitt\'e, Ilaria Fragal\`a

arxiv:1607.02878 v1 · 2016-07-11 · 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{32R2XVFIMF27WD6IGGQBLVDJ2C}

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	2026-05-18T01:11:14.490461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea3abd4a86175fb0fc831a015d469d097e6bc4e818bb55dca3fcfd955e97ba2

Aliases

arxiv: 1607.02878 · arxiv_version: 1607.02878v1 · doi: 10.48550/arxiv.1607.02878 · pith_short_12: 32R2XVFIMF27 · pith_short_16: 32R2XVFIMF27WD6I · pith_short_8: 32R2XVFI

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/32R2XVFIMF27WD6IGGQBLVDJ2C \
  | 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: dea3abd4a86175fb0fc831a015d469d097e6bc4e818bb55dca3fcfd955e97ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58ce9ba669b90932cea4589930bed340515db803bdb58a3d9b210c7d548a83de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-07-11T09:55:25Z",
    "title_canon_sha256": "822ddeb42f9cb6383cb25adfa86da44071da909ed63bcc4480f4a9da1f628dae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02878",
    "kind": "arxiv",
    "version": 1
  }
}