Pith Number

pith:5KGHIRBY

pith:2016:5KGHIRBYEBTZQG4U2U4PUG67XM

not attested not anchored not stored refs pending

Towering phenomena for the Yamabe equation on symmetric manifolds

Angela Pistoia, Filippo Morabito, Giusi Vaira

arxiv:1603.01538 v1 · 2016-03-04 · 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{5KGHIRBYEBTZQG4U2U4PUG67XM}

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	2026-05-18T01:19:35.757452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea8c7444382067981b94d538fa1bdfbb154ad11a9f017bccbe550ab637799b4f

Aliases

arxiv: 1603.01538 · arxiv_version: 1603.01538v1 · doi: 10.48550/arxiv.1603.01538 · pith_short_12: 5KGHIRBYEBTZ · pith_short_16: 5KGHIRBYEBTZQG4U · pith_short_8: 5KGHIRBY

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/5KGHIRBYEBTZQG4U2U4PUG67XM \
  | 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: ea8c7444382067981b94d538fa1bdfbb154ad11a9f017bccbe550ab637799b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "111cba98a38528852116f5e4ddae1910d905338ead648ece1a3002f24f98a918",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-04T17:08:46Z",
    "title_canon_sha256": "addfb9be4bc7206293d84c93353f66e107ae964b575f37d3fb3659873bf6d48a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01538",
    "kind": "arxiv",
    "version": 1
  }
}