Pith Number

pith:STFFY5NT

pith:2015:STFFY5NT2NTC4TWNDHDSBPJRKO

not attested not anchored not stored refs pending

Phase-number uncertainty from Weyl commutation relations

Alfredo Luis, Gonzalo Donoso

arxiv:1509.08085 v2 · 2015-09-27 · 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{STFFY5NT2NTC4TWNDHDSBPJRKO}

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	2026-05-18T00:28:57.183391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94ca5c75b3d3662e4ecd19c720bd3153ae18e978d7dca0e72144c61efd005ef5

Aliases

arxiv: 1509.08085 · arxiv_version: 1509.08085v2 · doi: 10.48550/arxiv.1509.08085 · pith_short_12: STFFY5NT2NTC · pith_short_16: STFFY5NT2NTC4TWN · pith_short_8: STFFY5NT

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/STFFY5NT2NTC4TWNDHDSBPJRKO \
  | 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: 94ca5c75b3d3662e4ecd19c720bd3153ae18e978d7dca0e72144c61efd005ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dcfabb41f2da9f5428e96c72886e522e28d46010f674e32b947113af346907d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-09-27T11:25:21Z",
    "title_canon_sha256": "bd2983c793c84534b0dfa05a9292ef74bab39bc58ef426c8211af64d4fd42fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08085",
    "kind": "arxiv",
    "version": 2
  }
}