Pith Number

pith:3XFTJ7EN

pith:2012:3XFTJ7ENF6FL4QBS7ZNZJGRJP5

not attested not anchored not stored refs pending

Sign-changing blow-up for scalar curvature type equations

Fr\'ed\'eric Robert, J\'er\^ome V\'etois

arxiv:1210.2244 v1 · 2012-10-08 · 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{3XFTJ7ENF6FL4QBS7ZNZJGRJP5}

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	2026-05-18T03:43:50.730298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcb34fc8d2f8abe4032fe5b949a297f55033b042953109b179747d46ca860e0

Aliases

arxiv: 1210.2244 · arxiv_version: 1210.2244v1 · doi: 10.48550/arxiv.1210.2244 · pith_short_12: 3XFTJ7ENF6FL · pith_short_16: 3XFTJ7ENF6FL4QBS · pith_short_8: 3XFTJ7EN

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/3XFTJ7ENF6FL4QBS7ZNZJGRJP5 \
  | 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: ddcb34fc8d2f8abe4032fe5b949a297f55033b042953109b179747d46ca860e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99909111672c19a14ed2152fcb76d597921b876e4e4c3305300ff501fc9b3364",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-08T11:42:43Z",
    "title_canon_sha256": "ae80d85729e4ecb528c7a1a7fe5150d793147bfc96456b88d2af338445899e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2244",
    "kind": "arxiv",
    "version": 1
  }
}