Pith Number

pith:FWX6R5ZF

pith:2012:FWX6R5ZF2CK3JIXHZKMF23EG42

not attested not anchored not stored refs pending

Noether's Theorem for Nonsmooth Extremals of Variational Problems with Time Delay

Delfim F. M. Torres, Gastao S. F. Frederico, Tatiana Odzijewicz

arxiv:1212.4932 v1 · 2012-12-20 · math.OC · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWX6R5ZF2CK3JIXHZKMF23EG42}

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	2026-05-18T02:59:44.862847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dafe8f725d095b4a2e7ca985d6c86e68ecedc7712802f486ee7e0dbaff876bf

Aliases

arxiv: 1212.4932 · arxiv_version: 1212.4932v1 · doi: 10.48550/arxiv.1212.4932 · pith_short_12: FWX6R5ZF2CK3 · pith_short_16: FWX6R5ZF2CK3JIXH · pith_short_8: FWX6R5ZF

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/FWX6R5ZF2CK3JIXHZKMF23EG42 \
  | 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: 2dafe8f725d095b4a2e7ca985d6c86e68ecedc7712802f486ee7e0dbaff876bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71105feab5bc90a73cc579faac6c236897fd7d568bed65540a682327d6c1667",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-20T06:24:20Z",
    "title_canon_sha256": "b86752df82aacb0755072d18a7420d2bcb1c693712312690b7550fcb2c90c305"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4932",
    "kind": "arxiv",
    "version": 1
  }
}