Pith Number

pith:4DPEYSMF

pith:2020:4DPEYSMFZGHHFLPGBSGYY7OBV2

not attested not anchored not stored refs pending

Wigner functions in quantum mechanics with a minimum length scale arising from generalized uncertainty principle

Kaushik Bhattacharya, Prathamesh Yeole, Vipul Kumar

arxiv:2006.11582 v2 · 2020-06-20 · hep-th · math-ph · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DPEYSMFZGHHFLPGBSGYY7OBV2}

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	2026-07-05T02:10:16.888071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0de4c4985c98e72ade60c8d8c7dc1ae8a085355354a02c9674882781a8c33c3

Aliases

arxiv: 2006.11582 · arxiv_version: 2006.11582v2 · doi: 10.48550/arxiv.2006.11582 · pith_short_12: 4DPEYSMFZGHH · pith_short_16: 4DPEYSMFZGHHFLPG · pith_short_8: 4DPEYSMF

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/4DPEYSMFZGHHFLPGBSGYY7OBV2 \
  | 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: e0de4c4985c98e72ade60c8d8c7dc1ae8a085355354a02c9674882781a8c33c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "283cbe99d65c14a4ece46b48be18621356ce4113b3769884c2c617986d09eb47",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-06-20T14:11:05Z",
    "title_canon_sha256": "3b6442724cccb0eef1f5a2e44c7eb33d2a5ed6c3f6fb0a5583c138519a63bd65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.11582",
    "kind": "arxiv",
    "version": 2
  }
}