Pith Number

pith:FF6436KY

pith:2009:FF6436KYFXDFUA4NILUO6T34AU

not attested not anchored not stored refs pending

A compactness theorem for scalar-flat metrics on manifolds with boundary

Sergio Almaraz

arxiv:0906.0927 v3 · 2009-06-04 · 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{FF6436KYFXDFUA4NILUO6T34AU}

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	2026-05-18T04:21:30.165620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297dcdf9582dc65a038d42e8ef4f7c05019f47634d88f235f1ba40e1e1578417

Aliases

arxiv: 0906.0927 · arxiv_version: 0906.0927v3 · doi: 10.48550/arxiv.0906.0927 · pith_short_12: FF6436KYFXDF · pith_short_16: FF6436KYFXDFUA4N · pith_short_8: FF6436KY

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/FF6436KYFXDFUA4NILUO6T34AU \
  | 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: 297dcdf9582dc65a038d42e8ef4f7c05019f47634d88f235f1ba40e1e1578417

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f97da03d310d18bec4372f58ef19eeaee079935ddf14eb73b6ff93cc984961",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-06-04T19:12:04Z",
    "title_canon_sha256": "61231bb556952a98dbff4cc2d2bb3f9207346f58842b97e39dd2882dcba718ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0927",
    "kind": "arxiv",
    "version": 3
  }
}