Pith Number

pith:O2JIV6TU

pith:2016:O2JIV6TUZHAZBRAC4YDNEX2SJV

not attested not anchored not stored refs pending

Multiplicity of nodal solutions to the Yamabe problem

Juan Carlos Fern\'andez, M\'onica Clapp

arxiv:1612.02102 v2 · 2016-12-07 · 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{O2JIV6TUZHAZBRAC4YDNEX2SJV}

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	2026-05-18T00:40:01.317067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76928afa74c9c190c402e606d25f524d550f9cf5368b12f853582e584e946606

Aliases

arxiv: 1612.02102 · arxiv_version: 1612.02102v2 · doi: 10.48550/arxiv.1612.02102 · pith_short_12: O2JIV6TUZHAZ · pith_short_16: O2JIV6TUZHAZBRAC · pith_short_8: O2JIV6TU

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/O2JIV6TUZHAZBRAC4YDNEX2SJV \
  | 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: 76928afa74c9c190c402e606d25f524d550f9cf5368b12f853582e584e946606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a932a5f7df3e426773d3846a62475badc896a60008195940ba37e1b79a333f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-07T02:46:11Z",
    "title_canon_sha256": "31d21d9266ef3172432727dfc8f194a8c1be3fea7fa05540cf7f7ae163f0bb52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02102",
    "kind": "arxiv",
    "version": 2
  }
}