Pith Number

pith:QT4AAOE4

pith:2009:QT4AAOE4VNNI4RIIKKGBQM7M2N

not attested not anchored not stored refs pending

An existence theorem of conformal scalar-flat metrics on manifolds with boundary

Sergio Almaraz

arxiv:0907.0798 v1 · 2009-07-04 · math.DG · 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{QT4AAOE4VNNI4RIIKKGBQM7M2N}

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	2026-05-18T04:32:43.734164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84f800389cab5a8e4508528c1833ecd37381bfb248679040ea4e8842c6679254

Aliases

arxiv: 0907.0798 · arxiv_version: 0907.0798v1 · doi: 10.48550/arxiv.0907.0798 · pith_short_12: QT4AAOE4VNNI · pith_short_16: QT4AAOE4VNNI4RII · pith_short_8: QT4AAOE4

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/QT4AAOE4VNNI4RIIKKGBQM7M2N \
  | 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: 84f800389cab5a8e4508528c1833ecd37381bfb248679040ea4e8842c6679254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834522b5de00fd7e507f37d6b8cb081514f0e83c79f4bc526c9abf72fdbb3db1",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-04T21:01:46Z",
    "title_canon_sha256": "b3ebe86d2b58b125ce54ab60c21a75c18231baca54d957fd98c2ed8838c6ca7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0798",
    "kind": "arxiv",
    "version": 1
  }
}