Pith Number

pith:5SIL6BJC

pith:2018:5SIL6BJCNUN54JXCLHYZ2TYUOP

not attested not anchored not stored refs pending

Painlev\'e analysis of Ricci solitons over warped products

Alejandro Betancourt de la Parra

arxiv:1802.10227 v1 · 2018-02-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5SIL6BJCNUN54JXCLHYZ2TYUOP}

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	2026-05-18T00:22:17.749140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec90bf05226d1bde26e259f19d4f1473eae6ab6d5543c46d7e243d471514dffa

Aliases

arxiv: 1802.10227 · arxiv_version: 1802.10227v1 · doi: 10.48550/arxiv.1802.10227 · pith_short_12: 5SIL6BJCNUN5 · pith_short_16: 5SIL6BJCNUN54JXC · pith_short_8: 5SIL6BJC

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/5SIL6BJCNUN54JXCLHYZ2TYUOP \
  | 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: ec90bf05226d1bde26e259f19d4f1473eae6ab6d5543c46d7e243d471514dffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afc0f5ef35b54426b0362e0ec469138468592e79afecf25b447363a0cfc30aa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-28T01:53:18Z",
    "title_canon_sha256": "780d0d960ba7533497eadd39146e920429d0b890e0609870f33ea0b22706f0eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.10227",
    "kind": "arxiv",
    "version": 1
  }
}