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Pith Number

pith:XH5TDT4K

pith:2013:XH5TDT4KBLZOOR4BDEDWGPUKL7
not attested not anchored not stored refs pending

Confined structures of least bending energy

Matthias R\"oger, Stefan M\"uller

arxiv:1308.2530 v1 · 2013-08-12 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XH5TDT4KBLZOOR4BDEDWGPUKL7}

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 2026-05-18T03:16:07.136097Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b9fb31cf8a0af2e747811907633e8a5ff5fb95b8e2eb97fa7916315f652beb63

Aliases

arxiv: 1308.2530 · arxiv_version: 1308.2530v1 · doi: 10.48550/arxiv.1308.2530 · pith_short_12: XH5TDT4KBLZO · pith_short_16: XH5TDT4KBLZOOR4B · pith_short_8: XH5TDT4K
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XH5TDT4KBLZOOR4BDEDWGPUKL7 \
  | 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: b9fb31cf8a0af2e747811907633e8a5ff5fb95b8e2eb97fa7916315f652beb63
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4e4eba9f63bb3e89e68a206a7da564008ea996647686b557c4372211d7b6473f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-08-12T11:50:42Z",
    "title_canon_sha256": "6d2bcf4ca0c5aea53f590ef2dc14d9722657681b190aa6b314ff6e23c0d830f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2530",
    "kind": "arxiv",
    "version": 1
  }
}