Pith Number

pith:FJDU3CUN

pith:2019:FJDU3CUNWSUWW2FB76V2GP4NF4

not attested not anchored not stored refs pending

Positive scalar curvature on simply connected spin pseudomanifolds

Boris Botvinnik, Jonathan Rosenberg, Paolo Piazza

arxiv:1908.04420 v3 · 2019-08-12 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJDU3CUNWSUWW2FB76V2GP4NF4}

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	2026-07-05T06:09:39.277178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a474d8a8db4a96b68a1ffaba33f8d2f16b187046c72601b4276fd509f099450

Aliases

arxiv: 1908.04420 · arxiv_version: 1908.04420v3 · doi: 10.48550/arxiv.1908.04420 · pith_short_12: FJDU3CUNWSUW · pith_short_16: FJDU3CUNWSUWW2FB · pith_short_8: FJDU3CUN

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/FJDU3CUNWSUWW2FB76V2GP4NF4 \
  | 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: 2a474d8a8db4a96b68a1ffaba33f8d2f16b187046c72601b4276fd509f099450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1ebcc5f7943d23862a21525a7d2d249512f38fad29a02bf04555d5708d2e57",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-12T22:07:36Z",
    "title_canon_sha256": "d79083000ac9bec61f8684be6c4b104d3a3230827e65b62ce3c5fc0a187b054e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04420",
    "kind": "arxiv",
    "version": 3
  }
}