Pith Number

pith:XLBUYWAJ

pith:2016:XLBUYWAJ35Z4UGZ4CYFEPA65UX

not attested not anchored not stored refs pending

Geometric conditions for the positive definiteness of the second variation in one-dimensional problems

Alain Goriely, Thomas Lessinnes

arxiv:1604.02558 v1 · 2016-04-09 · math.CA · math.DS · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLBUYWAJ35Z4UGZ4CYFEPA65UX}

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	2026-05-18T00:45:49.627559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac34c5809df73ca1b3c160a4783dda5dcef42a9bc8ef659798ddaf8036f3303

Aliases

arxiv: 1604.02558 · arxiv_version: 1604.02558v1 · doi: 10.48550/arxiv.1604.02558 · pith_short_12: XLBUYWAJ35Z4 · pith_short_16: XLBUYWAJ35Z4UGZ4 · pith_short_8: XLBUYWAJ

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/XLBUYWAJ35Z4UGZ4CYFEPA65UX \
  | 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: bac34c5809df73ca1b3c160a4783dda5dcef42a9bc8ef659798ddaf8036f3303

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31fae18d9caf6c26c527663b441a4c9e08bcb4a3bcff2dfd0a17cc3a5566b36d",
    "cross_cats_sorted": [
      "math.DS",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-09T12:37:46Z",
    "title_canon_sha256": "6a682f599f11f6e34ae293ae9db342da2c7714a112edab41b5cc2e42358e1af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02558",
    "kind": "arxiv",
    "version": 1
  }
}