Pith Number

pith:FYK34JU7

pith:2013:FYK34JU7CEFZYFT7F6VVLXHA3E

not attested not anchored not stored refs pending

Higher-order variational problems of Herglotz type

Delfim F. M. Torres, Natalia Martins, Simao P. S. Santos

arxiv:1309.6518 v1 · 2013-09-25 · 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{FYK34JU7CEFZYFT7F6VVLXHA3E}

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	2026-05-18T02:31:36.149256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e15be269f110b9c167f2fab55dce0d92a05e99d7ffa2f2867471bb207c485aa

Aliases

arxiv: 1309.6518 · arxiv_version: 1309.6518v1 · doi: 10.48550/arxiv.1309.6518 · pith_short_12: FYK34JU7CEFZ · pith_short_16: FYK34JU7CEFZYFT7 · pith_short_8: FYK34JU7

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/FYK34JU7CEFZYFT7F6VVLXHA3E \
  | 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: 2e15be269f110b9c167f2fab55dce0d92a05e99d7ffa2f2867471bb207c485aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c47ffa3f8bc290127505c8c466e075df70f6b289155d90dbe598e69a814cb7eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-25T14:26:46Z",
    "title_canon_sha256": "47218b1bedc786b129180cb222cd4c8468b3dca7b1628aed274bf2bc4f4c0320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6518",
    "kind": "arxiv",
    "version": 1
  }
}