Pith Number

pith:4XY3BO2C

pith:2012:4XY3BO2C5AXIVBVZPI2E27PWOH

not attested not anchored not stored refs pending

Do the Modified Uncertainty Principle and Polymer Quantization predict same physics?

Barun Majumder, Sourav Sen

arxiv:1207.6459 v2 · 2012-07-27 · gr-qc · 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{4XY3BO2C5AXIVBVZPI2E27PWOH}

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	2026-05-18T03:43:41.945650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f1b0bb42e82e8a86b97a344d7df671d0c70aa78ad29fb192c670fa062ffaea

Aliases

arxiv: 1207.6459 · arxiv_version: 1207.6459v2 · doi: 10.48550/arxiv.1207.6459 · pith_short_12: 4XY3BO2C5AXI · pith_short_16: 4XY3BO2C5AXIVBVZ · pith_short_8: 4XY3BO2C

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/4XY3BO2C5AXIVBVZPI2E27PWOH \
  | 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: e5f1b0bb42e82e8a86b97a344d7df671d0c70aa78ad29fb192c670fa062ffaea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0e4fc09b6da3b8a9205aabd389f260b8acf458eab7fa504bf87b71fe778592",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-27T06:39:28Z",
    "title_canon_sha256": "ef4b5d577841ace6b6742cc7d92970009df54b5583a18bc4cf9e5f303ca7bda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6459",
    "kind": "arxiv",
    "version": 2
  }
}