Pith Number

pith:CTF2GRY7

pith:2011:CTF2GRY7KJEZVFS275FZOFLU7L

not attested not anchored not stored refs pending

Nondifferentiable variational principles in terms of a quantum operator

Delfim F. M. Torres, Ricardo Almeida

arxiv:1106.3831 v1 · 2011-06-20 · 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{CTF2GRY7KJEZVFS275FZOFLU7L}

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	2026-05-18T04:07:32.191385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14cba3471f52499a965aff4b971574fafe59317926fc864125e79b748b05e535

Aliases

arxiv: 1106.3831 · arxiv_version: 1106.3831v1 · doi: 10.48550/arxiv.1106.3831 · pith_short_12: CTF2GRY7KJEZ · pith_short_16: CTF2GRY7KJEZVFS2 · pith_short_8: CTF2GRY7

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/CTF2GRY7KJEZVFS275FZOFLU7L \
  | 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: 14cba3471f52499a965aff4b971574fafe59317926fc864125e79b748b05e535

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c97efc67c6bc1920ac1c5ae22e631f191a7510c949d73dc3de123cd7550397e7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-06-20T07:42:38Z",
    "title_canon_sha256": "335e7025bcd4d54eb45f1e125597afa25b5cb77f8baa5c27842038ba35844af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3831",
    "kind": "arxiv",
    "version": 1
  }
}