Pith Number

pith:ZTKXDIKM

pith:2017:ZTKXDIKMAPHFLRECPEWGJCXPFW

not attested not anchored not stored refs pending

Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. II. Vacuum energy

Andrey Davydov, Konstantin Sveshnikov, Yulia Voronina

arxiv:1712.02703 v1 · 2017-12-07 · hep-th · physics.atom-ph · 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{ZTKXDIKMAPHFLRECPEWGJCXPFW}

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	2026-05-18T00:26:35.798370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd571a14c03ce55c482792c648aef2dbd4e116d7e13ff8d1cb073be4b05fbf3

Aliases

arxiv: 1712.02703 · arxiv_version: 1712.02703v1 · doi: 10.48550/arxiv.1712.02703 · pith_short_12: ZTKXDIKMAPHF · pith_short_16: ZTKXDIKMAPHFLREC · pith_short_8: ZTKXDIKM

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/ZTKXDIKMAPHFLRECPEWGJCXPFW \
  | 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: ccd571a14c03ce55c482792c648aef2dbd4e116d7e13ff8d1cb073be4b05fbf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c43c6ab65a55fc524eeaf44ac2705118ffbcc2657eb8202410d1c43b4547d061",
    "cross_cats_sorted": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-12-07T16:39:14Z",
    "title_canon_sha256": "61cc629f31b96fe414541cd9c78749052b47cf8e320b055b403f5ebfff07dca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02703",
    "kind": "arxiv",
    "version": 1
  }
}