Pith. sign in
Pith Number

pith:PSQCKJ4P

pith:2003:PSQCKJ4PBS6DAEVQYIW2EX2LQS
not attested not anchored not stored refs pending

Duality Walls, Duality Trees and Fractional Branes

Amihay Hanany, Pavlos Kazakopoulos, Sebastian Franco, Yang-Hui He

arxiv:hep-th/0306092 v1 · 2003-06-10 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PSQCKJ4PBS6DAEVQYIW2EX2LQS}

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 2026-07-04T14:31:58.637549Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ca025278f0cbc3012b0c22da25f4b84b7551e58f080babbf59e1e2d5d9f00a8

Aliases

arxiv: hep-th/0306092 · arxiv_version: hep-th/0306092v1 · doi: 10.48550/arxiv.hep-th/0306092 · pith_short_12: PSQCKJ4PBS6D · pith_short_16: PSQCKJ4PBS6DAEVQ · pith_short_8: PSQCKJ4P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PSQCKJ4PBS6DAEVQYIW2EX2LQS \
  | 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: 7ca025278f0cbc3012b0c22da25f4b84b7551e58f080babbf59e1e2d5d9f00a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "84cc5fcfe42f7d7c978d4538f937829a062f742e93cc3128bfb13c5dd6f84992",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-06-10T21:18:23Z",
    "title_canon_sha256": "8698a078e990ad520ed20def2ef43535216b9151c9f8f0945601f6ced2701b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0306092",
    "kind": "arxiv",
    "version": 1
  }
}