Pith Number

pith:NJXYTTUK

pith:2013:NJXYTTUKYQ2A5VHQLC53ASPX5A

not attested not anchored not stored refs pending

Symmetry breaking of solutions of non-cooperative elliptic systems

Piotr Stefaniak

arxiv:1303.1025 v1 · 2013-03-05 · 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{NJXYTTUKYQ2A5VHQLC53ASPX5A}

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	2026-05-18T03:31:53.125855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a6f89ce8ac4340ed4f058bbb049f7e8241d72afeaeaf6c1f60bc169a0a7bd05

Aliases

arxiv: 1303.1025 · arxiv_version: 1303.1025v1 · doi: 10.48550/arxiv.1303.1025 · pith_short_12: NJXYTTUKYQ2A · pith_short_16: NJXYTTUKYQ2A5VHQ · pith_short_8: NJXYTTUK

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/NJXYTTUKYQ2A5VHQLC53ASPX5A \
  | 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: 6a6f89ce8ac4340ed4f058bbb049f7e8241d72afeaeaf6c1f60bc169a0a7bd05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45141de934ab0558d43c428331a4635e1b377dd415661627ee78f128067586e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-05T13:20:54Z",
    "title_canon_sha256": "7fac682a2da925761a41c9a5ff4b3191d5454193c047b6690aca5734112a3512"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1025",
    "kind": "arxiv",
    "version": 1
  }
}