Pith Number

pith:VZ6EX6ER

pith:2008:VZ6EX6ER5IS4F2JHT5YIYIDW7E

not attested not anchored not stored refs pending

Relation between phase and dwell times for quantum tunneling of a relativistically propagating particle

Alex E. Bernardini

arxiv:0804.3212 v1 · 2008-04-20 · quant-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZ6EX6ER5IS4F2JHT5YIYIDW7E}

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	2026-05-18T00:31:14.369556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae7c4bf891ea25c2e9279f708c2076f9295cf0014d7cc19f2d0f7485a470da8c

Aliases

arxiv: 0804.3212 · arxiv_version: 0804.3212v1 · doi: 10.48550/arxiv.0804.3212 · pith_short_12: VZ6EX6ER5IS4 · pith_short_16: VZ6EX6ER5IS4F2JH · pith_short_8: VZ6EX6ER

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/VZ6EX6ER5IS4F2JHT5YIYIDW7E \
  | 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: ae7c4bf891ea25c2e9279f708c2076f9295cf0014d7cc19f2d0f7485a470da8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6ffbc2db5c7e9f54b414b625468272a8371a621ab470795b3a4c1d3a58d08a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-04-20T19:19:38Z",
    "title_canon_sha256": "f68ea0126e1c4d18ab73e62a46c388109353cb4759abb0f93eab4b01bd1b25d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3212",
    "kind": "arxiv",
    "version": 1
  }
}