Pith Number

pith:LMTWAA57

pith:2025:LMTWAA57W2IS6N2R2IINYDHREY

not attested not anchored not stored refs pending

Global bifurcation of solutions to elliptic systems with system and domain symmetries

Piotr Stefaniak

arxiv:2510.20462 v2 · 2025-10-23 · 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{LMTWAA57W2IS6N2R2IINYDHREY}

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	2026-06-11T01:10:28.977982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b276003bfb6912f3751d210dc0cf126150d04c97acd5fe3f897b7a821c8efcf

Aliases

arxiv: 2510.20462 · arxiv_version: 2510.20462v2 · doi: 10.48550/arxiv.2510.20462 · pith_short_12: LMTWAA57W2IS · pith_short_16: LMTWAA57W2IS6N2R · pith_short_8: LMTWAA57

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/LMTWAA57W2IS6N2R2IINYDHREY \
  | 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: 5b276003bfb6912f3751d210dc0cf126150d04c97acd5fe3f897b7a821c8efcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "390f56a1b6b859d4afd529371894b16d647246ffb7157d0eea37b02bc7995a14",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-10-23T11:57:10Z",
    "title_canon_sha256": "9ca7db2eae643f82ec2a70776059527c8005aa02fe381d55a951cfcde6e9e5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.20462",
    "kind": "arxiv",
    "version": 2
  }
}