Pith Number

pith:A4KHQRQA

pith:2011:A4KHQRQAJP6GGVE2OU24BFT47Q

not attested not anchored not stored refs pending

The power quantum calculus and variational problems

Agnieszka B. Malinowska, Delfim F. M. Torres, Khaled A. Aldwoah

arxiv:1107.0344 v1 · 2011-07-01 · math.OC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4KHQRQAJP6GGVE2OU24BFT47Q}

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	2026-05-18T04:04:42.111663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07147846004bfc63549a7535c0967cfc3414d5b9847fffc8ce2e567e37ce7fd5

Aliases

arxiv: 1107.0344 · arxiv_version: 1107.0344v1 · doi: 10.48550/arxiv.1107.0344 · pith_short_12: A4KHQRQAJP6G · pith_short_16: A4KHQRQAJP6GGVE2 · pith_short_8: A4KHQRQA

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/A4KHQRQAJP6GGVE2OU24BFT47Q \
  | 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: 07147846004bfc63549a7535c0967cfc3414d5b9847fffc8ce2e567e37ce7fd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d1f084aafb506994baece8c693fef7122c69a2275189960102317d96391406",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-01T22:56:53Z",
    "title_canon_sha256": "e8ec63a709d02f7b583d3d1bb0e5d5557110cab439da9ab29e5cc327a9b66811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0344",
    "kind": "arxiv",
    "version": 1
  }
}