Pith Number

pith:PFTG5L6F

pith:2013:PFTG5L6F2BQ5MFUUVW2XP3BLRP

not attested not anchored not stored refs pending

Quantum Backflow States from Eigenstates of the Regularized Current Operator

E.Gillman, I.Ramirez, J.J.Halliwell, M.Patel, O.Lennon

arxiv:1309.2909 v1 · 2013-09-11 · 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{PFTG5L6F2BQ5MFUUVW2XP3BLRP}

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	2026-05-18T01:35:28.293628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79666eafc5d061d61694adb577ec2b8bdab46f3d1b6a7aaec8e7de95262aff36

Aliases

arxiv: 1309.2909 · arxiv_version: 1309.2909v1 · doi: 10.48550/arxiv.1309.2909 · pith_short_12: PFTG5L6F2BQ5 · pith_short_16: PFTG5L6F2BQ5MFUU · pith_short_8: PFTG5L6F

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/PFTG5L6F2BQ5MFUUVW2XP3BLRP \
  | 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: 79666eafc5d061d61694adb577ec2b8bdab46f3d1b6a7aaec8e7de95262aff36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67387b9dc78517368bd784f3b0509d45319df1a78e59c538c216231c2e4b729a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-11T18:22:45Z",
    "title_canon_sha256": "6e64c34c5978540cee8a21a170e942967d6f46121bf98a728be74b9f05df15a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2909",
    "kind": "arxiv",
    "version": 1
  }
}