Pith Number

pith:KT54Q52E

pith:2016:KT54Q52EMGQZKHS2K6DTCNFDLO

not attested not anchored not stored refs pending

Symmetry of solutions of a mean field equation on flat tori

Amir Moradifam, Changfeng Gui

arxiv:1605.06905 v1 · 2016-05-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KT54Q52EMGQZKHS2K6DTCNFDLO}

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	2026-05-18T01:14:10.915106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54fbc8774461a1951e5a57873134a35b9c45d3a4121dfd4de405b5c510277367

Aliases

arxiv: 1605.06905 · arxiv_version: 1605.06905v1 · doi: 10.48550/arxiv.1605.06905 · pith_short_12: KT54Q52EMGQZ · pith_short_16: KT54Q52EMGQZKHS2 · pith_short_8: KT54Q52E

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/KT54Q52EMGQZKHS2K6DTCNFDLO \
  | 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: 54fbc8774461a1951e5a57873134a35b9c45d3a4121dfd4de405b5c510277367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afe061ae83574ebc75189e3f10a757e26b2fc98906c71cd8e50928ab0748295d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-23T06:40:41Z",
    "title_canon_sha256": "812a29ab0f46e90b952ca62a072791ba0763ccf023b8f0f97636fb4133509961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06905",
    "kind": "arxiv",
    "version": 1
  }
}