Pith Number

pith:Q6TS5B4L

pith:2015:Q6TS5B4LAUCWGJJ7KDJSB4VOST

not attested not anchored not stored refs pending

Smooth compactness of $f$-minimal hypersurfaces with bounded $f$-index

Ben Sharp, Ezequiel Barbosa, Yong Wei

arxiv:1503.01945 v1 · 2015-03-06 · 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{Q6TS5B4LAUCWGJJ7KDJSB4VOST}

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	2026-05-18T02:25:27.220971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a72e878b050563253f50d320f2ae94eb01012cbd64fc1e9fca78981fd9e13f

Aliases

arxiv: 1503.01945 · arxiv_version: 1503.01945v1 · doi: 10.48550/arxiv.1503.01945 · pith_short_12: Q6TS5B4LAUCW · pith_short_16: Q6TS5B4LAUCWGJJ7 · pith_short_8: Q6TS5B4L

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/Q6TS5B4LAUCWGJJ7KDJSB4VOST \
  | 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: 87a72e878b050563253f50d320f2ae94eb01012cbd64fc1e9fca78981fd9e13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d4b68eb33e34cf6744d8f0ddf0ff1134215a0920d0a3a706c4fb4e877558ee6",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-03-06T13:31:55Z",
    "title_canon_sha256": "f1b3ce73d0a9e5b05a0a83417b33bdacb34ccbb4814b4e38ce5274b0fac172f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01945",
    "kind": "arxiv",
    "version": 1
  }
}