Pith Number

pith:UPSTATAF

pith:2018:UPSTATAFMRSX5BCGMXI3V2PIWM

not attested not anchored not stored refs pending

Topological obstructions to nonnegative scalar curvature and mean convex boundary

Ezequiel Barbosa, Franciele Conrado

arxiv:1811.08519 v2 · 2018-11-20 · 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{UPSTATAFMRSX5BCGMXI3V2PIWM}

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	2026-05-17T23:45:46.567586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3e5304c0564657e844665d1bae9e8b300c0bf48afda0f0f1d6b0281c2494118

Aliases

arxiv: 1811.08519 · arxiv_version: 1811.08519v2 · doi: 10.48550/arxiv.1811.08519 · pith_short_12: UPSTATAFMRSX · pith_short_16: UPSTATAFMRSX5BCG · pith_short_8: UPSTATAF

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/UPSTATAFMRSX5BCGMXI3V2PIWM \
  | 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: a3e5304c0564657e844665d1bae9e8b300c0bf48afda0f0f1d6b0281c2494118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18edf8bed1e8708c6f78d433d55bb5b41e199b20ed6ad2f59e97bb66b265365c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-20T22:37:49Z",
    "title_canon_sha256": "c57f40fe0e7ec76dd5122593b8ddea6a682599cfd8a625481423848baf51c404"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08519",
    "kind": "arxiv",
    "version": 2
  }
}