Pith Number

pith:QTBKCKJN

pith:2015:QTBKCKJNBWMLYB5EWWQRSPSVWM

not attested not anchored not stored refs pending

Entropic framework for wave-particle duality in multipath interferometers

Patrick J. Coles

arxiv:1512.09081 v2 · 2015-12-30 · 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{QTBKCKJNBWMLYB5EWWQRSPSVWM}

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	2026-05-18T01:11:54.824788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84c2a1292d0d98bc07a4b5a1193e55b33341e17ee08bc0b2b6a109e32aafd8e0

Aliases

arxiv: 1512.09081 · arxiv_version: 1512.09081v2 · doi: 10.48550/arxiv.1512.09081 · pith_short_12: QTBKCKJNBWML · pith_short_16: QTBKCKJNBWMLYB5E · pith_short_8: QTBKCKJN

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/QTBKCKJNBWMLYB5EWWQRSPSVWM \
  | 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: 84c2a1292d0d98bc07a4b5a1193e55b33341e17ee08bc0b2b6a109e32aafd8e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37035dc23b4c88175a9ee451683111c77319efff8c05c053f73ac5561233a66f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-30T19:50:05Z",
    "title_canon_sha256": "cbf8ae41f2e58afbac36a76a67c0ec5af32041b99a9d07cc109598af204c721f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09081",
    "kind": "arxiv",
    "version": 2
  }
}