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Pith Number

pith:FLFYHXV3

pith:2013:FLFYHXV3OVGM2WIJHCDZNANI4J
not attested not anchored not stored refs pending

Perturbations of frames

Bentuo Zheng, Dongyang Chen, Lei Li

arxiv:1312.3460 v1 · 2013-12-12 · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FLFYHXV3OVGM2WIJHCDZNANI4J}

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 2026-05-18T03:04:58.494558Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2acb83debb754ccd590938879681a8e2677052b620f9cbb7b2bbf9bbf71d95ff

Aliases

arxiv: 1312.3460 · arxiv_version: 1312.3460v1 · doi: 10.48550/arxiv.1312.3460 · pith_short_12: FLFYHXV3OVGM · pith_short_16: FLFYHXV3OVGM2WIJ · pith_short_8: FLFYHXV3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FLFYHXV3OVGM2WIJHCDZNANI4J \
  | 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: 2acb83debb754ccd590938879681a8e2677052b620f9cbb7b2bbf9bbf71d95ff
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "16cbb21f4cde519d4ca2f4d4a93ac8c5cb91ce46e0ff0964036a301b32608650",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-12T12:11:57Z",
    "title_canon_sha256": "7fce6fac0986caf834ef6ee882c98c6fabf8b9935e6308afd113a724a6daffa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3460",
    "kind": "arxiv",
    "version": 1
  }
}