Pith Number

pith:ZQ2L4NMM

pith:2015:ZQ2L4NMMHCI4RPXSKAZH4EMP2P

not attested not anchored not stored refs pending

Exactly solvable cases in QED with t-electric potential steps

D.M. Gitman, S.P. Gavrilov, T. C. Adorno

arxiv:1512.01288 v3 · 2015-12-04 · 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{ZQ2L4NMMHCI4RPXSKAZH4EMP2P}

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	2026-05-18T00:42:07.849877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc34be358c3891c8bef250327e118fd3f1ee278e09f2da3b2395cc080ea83fbb

Aliases

arxiv: 1512.01288 · arxiv_version: 1512.01288v3 · doi: 10.48550/arxiv.1512.01288 · pith_short_12: ZQ2L4NMMHCI4 · pith_short_16: ZQ2L4NMMHCI4RPXS · pith_short_8: ZQ2L4NMM

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/ZQ2L4NMMHCI4RPXSKAZH4EMP2P \
  | 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: cc34be358c3891c8bef250327e118fd3f1ee278e09f2da3b2395cc080ea83fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f1e3317dc2bfb4ed9fd1666fb478f66f53b1d5f407badd57540bb44911fb1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-04T00:10:57Z",
    "title_canon_sha256": "1efb3e42539241a0d34d057d058b3b77f59ebce50d933f361f783110d3d41307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01288",
    "kind": "arxiv",
    "version": 3
  }
}