Pith Number

pith:X4VIUFNZ

pith:2000:X4VIUFNZTK5UWJOUKMB4ABPDGF

not attested not anchored not stored refs pending

Two-loop Yang-Mills theory in the world-line formalism and an Euler-Heisenberg type action

Claus Zahlten, Haru-Tada Sato, Michael G. Schmidt

arxiv:hep-th/0003070 v1 · 2000-03-09 · hep-th · hep-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{X4VIUFNZTK5UWJOUKMB4ABPDGF}

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.

Cited by

1 paper in Pith

Deeply inelastic scattering structure functions on a hybrid quantum computer

Receipt and verification

First computed	2026-07-04T16:20:41.126340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2a8a15b99abb4b25d45303c005e3317547067e7404becee07e27868d715b56

Aliases

arxiv: hep-th/0003070 · arxiv_version: hep-th/0003070v1 · doi: 10.48550/arxiv.hep-th/0003070 · pith_short_12: X4VIUFNZTK5U · pith_short_16: X4VIUFNZTK5UWJOU · pith_short_8: X4VIUFNZ

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/X4VIUFNZTK5UWJOUKMB4ABPDGF \
  | 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: bf2a8a15b99abb4b25d45303c005e3317547067e7404becee07e27868d715b56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95123eda7f28e5612d699102025c081352e8221af7b948e7ee19026845c7307d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-03-09T15:48:26Z",
    "title_canon_sha256": "5fae9d182d92edb0f01b606f4815eefd86b906b2424c897dbb3be8304ff85a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0003070",
    "kind": "arxiv",
    "version": 1
  }
}