Pith Number

pith:ZUMAIP2G

pith:2010:ZUMAIP2GGTL5GITU2KXYGRUBE4

not attested not anchored not stored refs pending

Non-differentiable Bohmian trajectories

Gebhard Gruebl, Markus Penz

arxiv:1011.2852 v1 · 2010-11-12 · quant-ph · 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{ZUMAIP2GGTL5GITU2KXYGRUBE4}

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	2026-05-18T04:36:08.037553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd18043f4634d7d32274d2af8346812712e43e69ccbf780d4e2c4c2460951209

Aliases

arxiv: 1011.2852 · arxiv_version: 1011.2852v1 · doi: 10.48550/arxiv.1011.2852 · pith_short_12: ZUMAIP2GGTL5 · pith_short_16: ZUMAIP2GGTL5GITU · pith_short_8: ZUMAIP2G

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/ZUMAIP2GGTL5GITU2KXYGRUBE4 \
  | 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: cd18043f4634d7d32274d2af8346812712e43e69ccbf780d4e2c4c2460951209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37c5500642c296cd08b9182648f202a457fc0af359e24f491dff891322b1800",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-11-12T09:09:51Z",
    "title_canon_sha256": "145d9549bbe6d3dc7e5c2d105720914d1ffa2154093751124d13b549741345df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2852",
    "kind": "arxiv",
    "version": 1
  }
}