Pith Number

pith:LX7ROCPK

pith:2012:LX7ROCPKBIWNN43E6MT4WEWZSU

not attested not anchored not stored refs pending

Sharp eigenvalue bounds and minimal surfaces in the ball

Ailana Fraser, Richard Schoen

arxiv:1209.3789 v3 · 2012-09-17 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LX7ROCPKBIWNN43E6MT4WEWZSU}

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	2026-05-18T00:30:49.828150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dff1709ea0a2cd6f364f327cb12d995300c2e617cec86fc00ac73994dc782c9

Aliases

arxiv: 1209.3789 · arxiv_version: 1209.3789v3 · doi: 10.48550/arxiv.1209.3789 · pith_short_12: LX7ROCPKBIWN · pith_short_16: LX7ROCPKBIWNN43E · pith_short_8: LX7ROCPK

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/LX7ROCPKBIWNN43E6MT4WEWZSU \
  | 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: 5dff1709ea0a2cd6f364f327cb12d995300c2e617cec86fc00ac73994dc782c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd23c8d65d5cf4e675a7defa92a228ce44791dba6facc4cf5bab772f6d63bf81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-17T20:23:56Z",
    "title_canon_sha256": "2d458e37018c27a931c37c41c05be6c63a30de642d172d22601acbc31541bd9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3789",
    "kind": "arxiv",
    "version": 3
  }
}