pith. sign in
Pith Number

pith:FJJYSZ6S

pith:2010:FJJYSZ6SYGJ4LOAUDUUHHAJTIJ
not attested not anchored not stored refs pending

Path integral quantization for massive vector bosons

D. Djukanovic, J. Gegelia, S. Scherer

arxiv:1001.1077 v1 · 2010-01-07 · hep-th · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FJJYSZ6SYGJ4LOAUDUUHHAJTIJ}

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 2026-05-18T02:33:50.167502Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a538967d2c193c5b8141d287381334249e3c56da7613a491aa32b78c5767fc9

Aliases

arxiv: 1001.1077 · arxiv_version: 1001.1077v1 · doi: 10.48550/arxiv.1001.1077 · pith_short_12: FJJYSZ6SYGJ4 · pith_short_16: FJJYSZ6SYGJ4LOAU · pith_short_8: FJJYSZ6S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FJJYSZ6SYGJ4LOAUDUUHHAJTIJ \
  | 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: 2a538967d2c193c5b8141d287381334249e3c56da7613a491aa32b78c5767fc9
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "378d258e0f4546095acbc0b064c9db56a2cfd1b09c35792849ae138bc19f892d",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-01-07T14:26:37Z",
    "title_canon_sha256": "f32fb50592f3dd449d8bb3455f798f83d8abbdce345cbbb6b0a762ce8f81233a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1077",
    "kind": "arxiv",
    "version": 1
  }
}