Pith Number

pith:Z26LPHZJ

pith:2007:Z26LPHZJ4LV6YGVN2EGRUERMZW

not attested not anchored not stored refs pending

Unstable Semiclassical Trajectories in Tunneling

A.G. Panin, D.G. Levkov, S.M. Sibiryakov

arxiv:0707.0433 v2 · 2007-07-03 · quant-ph · cond-mat.stat-mech · hep-th · math-ph · math.MP · nlin.CD · physics.chem-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{Z26LPHZJ4LV6YGVN2EGRUERMZW}

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	2026-05-18T01:05:14.162046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebcb79f29e2ebec1aadd10d1a122ccd992547f56f2bc95892ed6e7776a1b2b7

Aliases

arxiv: 0707.0433 · arxiv_version: 0707.0433v2 · doi: 10.48550/arxiv.0707.0433 · pith_short_12: Z26LPHZJ4LV6 · pith_short_16: Z26LPHZJ4LV6YGVN · pith_short_8: Z26LPHZJ

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/Z26LPHZJ4LV6YGVN2EGRUERMZW \
  | 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: cebcb79f29e2ebec1aadd10d1a122ccd992547f56f2bc95892ed6e7776a1b2b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e1b68fc00b2c353f4b35883d68c2d51f45fc9783a014fa5783b387c9642235",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.CD",
      "physics.chem-ph"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-07-03T15:01:23Z",
    "title_canon_sha256": "5108d0b42483de8e3dc35a0cc37a082a9b0f49f21474176dcd7faa3ae1f05251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0433",
    "kind": "arxiv",
    "version": 2
  }
}