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Pith Number

pith:XVXHDLKZ

pith:2015:XVXHDLKZBOBUYJ6KZ6TEE5DH5H
not attested not anchored not stored refs pending

New localization mechanism and Hodge duality for $q-$form field

Chun-E Fu, Heng Guo, Sheng-Li Zhang, Yu-Xiao Liu

arxiv:1502.05456 v3 · 2015-02-19 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XVXHDLKZBOBUYJ6KZ6TEE5DH5H}

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 2026-05-18T01:19:30.420898Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bd6e71ad590b834c27cacfa6427467e9c4624a7e14881d39ac24869599973762

Aliases

arxiv: 1502.05456 · arxiv_version: 1502.05456v3 · doi: 10.48550/arxiv.1502.05456 · pith_short_12: XVXHDLKZBOBU · pith_short_16: XVXHDLKZBOBUYJ6K · pith_short_8: XVXHDLKZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XVXHDLKZBOBUYJ6KZ6TEE5DH5H \
  | 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: bd6e71ad590b834c27cacfa6427467e9c4624a7e14881d39ac24869599973762
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2499816d2f7a96abfdbcf722e67db258e4481e5393dfb3055f4d06e92a84d0f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-02-19T03:04:29Z",
    "title_canon_sha256": "3dacd1b097af8791170101eeaec8ad74ce05d81c571fe05cc88086825d7f4568"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05456",
    "kind": "arxiv",
    "version": 3
  }
}