Pith Number

pith:CER64RVG

pith:2010:CER64RVGQ53D7YFQWTBANFLDDU

not attested not anchored not stored refs pending

The Hahn Quantum Variational Calculus

Agnieszka B. Malinowska, Delfim F. M. Torres

arxiv:1006.3765 v1 · 2010-06-18 · 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{CER64RVGQ53D7YFQWTBANFLDDU}

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	2026-05-18T04:38:16.937626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1123ee46a687763fe0b0b4c20695631d0db78f91fdf38e40f0f82e387ad5e670

Aliases

arxiv: 1006.3765 · arxiv_version: 1006.3765v1 · doi: 10.48550/arxiv.1006.3765 · pith_short_12: CER64RVGQ53D · pith_short_16: CER64RVGQ53D7YFQ · pith_short_8: CER64RVG

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/CER64RVGQ53D7YFQWTBANFLDDU \
  | 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: 1123ee46a687763fe0b0b4c20695631d0db78f91fdf38e40f0f82e387ad5e670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "700d3d6e3485db3f3f8a1b563e8e4255f61f013d43374916c8c3a79034f34e2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-06-18T18:09:39Z",
    "title_canon_sha256": "5abc889ea7a92ee7d767d1383bbc8387e85ede2fd4b166607a272ab98fc3ad1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.3765",
    "kind": "arxiv",
    "version": 1
  }
}