Pith Number

pith:HJRBYEHN

pith:2013:HJRBYEHN7OWFQV27WTHF4EE2X7

not attested not anchored not stored refs pending

On Quantum Tunneling in Real Time

Neil Turok

arxiv:1312.1772 v4 · 2013-12-06 · quant-ph · gr-qc · 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{HJRBYEHN7OWFQV27WTHF4EE2X7}

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	2026-05-18T01:45:57.970209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a621c10edfbac58575fb4ce5e109abfc756a7ce0b4b4f13c995822ab4ad0015

Aliases

arxiv: 1312.1772 · arxiv_version: 1312.1772v4 · doi: 10.48550/arxiv.1312.1772 · pith_short_12: HJRBYEHN7OWF · pith_short_16: HJRBYEHN7OWFQV27 · pith_short_8: HJRBYEHN

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/HJRBYEHN7OWFQV27WTHF4EE2X7 \
  | 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: 3a621c10edfbac58575fb4ce5e109abfc756a7ce0b4b4f13c995822ab4ad0015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca78b1d72601e557553d139185106ba017be7a11ea13c08a5c1fc5ebc0c2c1e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-06T05:47:46Z",
    "title_canon_sha256": "1e2d3f5fd6ff20a3e0a88260c26ad0f18f46ee9236586b7700aea263f33541f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1772",
    "kind": "arxiv",
    "version": 4
  }
}