Pith Number

pith:FNUGH6TZ

pith:2017:FNUGH6TZUZOLAX2SDTGIJYXJYI

not attested not anchored not stored refs pending

A Berestycki-Lions type result and applications

Claudianor O. Alves, Marco A. S. Souto, Ronaldo C. Duarte

arxiv:1708.02263 v1 · 2017-08-07 · 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{FNUGH6TZUZOLAX2SDTGIJYXJYI}

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	2026-05-18T00:38:24.957573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6863fa79a65cb05f521ccc84e2e9c21fa62f5d6c9afa13642efce48b8f57c7

Aliases

arxiv: 1708.02263 · arxiv_version: 1708.02263v1 · doi: 10.48550/arxiv.1708.02263 · pith_short_12: FNUGH6TZUZOL · pith_short_16: FNUGH6TZUZOLAX2S · pith_short_8: FNUGH6TZ

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/FNUGH6TZUZOLAX2SDTGIJYXJYI \
  | 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: 2b6863fa79a65cb05f521ccc84e2e9c21fa62f5d6c9afa13642efce48b8f57c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c1a8720b7038468ea49e2cd4256437aa6dc9078d2e51fd14a9d248e78d003b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-07T18:41:49Z",
    "title_canon_sha256": "99974d36419ace602f6fcf7e576f8431433ec58cf54e7b67800ddd16a39f9a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02263",
    "kind": "arxiv",
    "version": 1
  }
}