Pith Number

pith:ZSXONFS3

pith:2017:ZSXONFS36C52VTT5TDGGB4ESFW

not attested not anchored not stored refs pending

Geometrically distinct solutions given by symmetries of variational problems with the $O(N)$-symmetry

Wac{\l}aw Marzantowicz

arxiv:1711.08425 v2 · 2017-11-22 · math.AP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSXONFS36C52VTT5TDGGB4ESFW}

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	2026-05-18T00:00:39.841737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccaee6965bf0bbaace7d98cc60f0922db348e4ea5b13391e7d76bfef8f2c9c14

Aliases

arxiv: 1711.08425 · arxiv_version: 1711.08425v2 · doi: 10.48550/arxiv.1711.08425 · pith_short_12: ZSXONFS36C52 · pith_short_16: ZSXONFS36C52VTT5 · pith_short_8: ZSXONFS3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZSXONFS36C52VTT5TDGGB4ESFW \
  | 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: ccaee6965bf0bbaace7d98cc60f0922db348e4ea5b13391e7d76bfef8f2c9c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6366a26bfef84b927b7e4cc573aa2dcf151826eabda19b93d222b18b374f5558",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-11-22T18:17:13Z",
    "title_canon_sha256": "1619420ab9373f166b08f6f39dcd59be3f761d605a83afd5e09d37e4cf075b62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08425",
    "kind": "arxiv",
    "version": 2
  }
}