Pith Number

pith:E2ALX6HB

pith:2006:E2ALX6HBWCYJUVD5M6V55GECTY

not attested not anchored not stored refs pending

Alternative perspective on photonic tunneling

Bing He, Cai-Dong Xiong, Zhi-yong Wang

arxiv:quant-ph/0612069 v7 · 2006-12-10 · 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{E2ALX6HBWCYJUVD5M6V55GECTY}

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	2026-07-04T17:03:37.833140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2680bbf8e1b0b09a547d67abde98829e3540105201949de1cd1b1c7fb44ef6e5

Aliases

arxiv: quant-ph/0612069 · arxiv_version: quant-ph/0612069v7 · doi: 10.48550/arxiv.quant-ph/0612069 · pith_short_12: E2ALX6HBWCYJ · pith_short_16: E2ALX6HBWCYJUVD5 · pith_short_8: E2ALX6HB

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/E2ALX6HBWCYJUVD5M6V55GECTY \
  | 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: 2680bbf8e1b0b09a547d67abde98829e3540105201949de1cd1b1c7fb44ef6e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8510bfc5582169240cee0939014d7fc1c208c24e3214c1ce13bcd96f495ad1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-12-10T14:14:29Z",
    "title_canon_sha256": "0aa189fd042ec5add276e43e4d411c0255c20b6dc4f8848796f3c4879ce3486b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0612069",
    "kind": "arxiv",
    "version": 7
  }
}