Pith Number

pith:3IMXTPPB

pith:2019:3IMXTPPBZF5QVZIEKTOUTVFOJ7

not attested not anchored not stored refs pending

On 3-manifolds with pointwise pinched nonnegative Ricci curvature

John Lott

arxiv:1908.04715 v3 · 2019-08-13 · 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{3IMXTPPBZF5QVZIEKTOUTVFOJ7}

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	2026-07-05T05:43:06.156684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da1979bde1c97b0ae50454dd49d4ae4ff61460182708db54246adfad5afa104b

Aliases

arxiv: 1908.04715 · arxiv_version: 1908.04715v3 · doi: 10.48550/arxiv.1908.04715 · pith_short_12: 3IMXTPPBZF5Q · pith_short_16: 3IMXTPPBZF5QVZIE · pith_short_8: 3IMXTPPB

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/3IMXTPPBZF5QVZIEKTOUTVFOJ7 \
  | 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: da1979bde1c97b0ae50454dd49d4ae4ff61460182708db54246adfad5afa104b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d97c36d9d6d4fe0b74287a901dfb92c7b274f252f83627941f3fc0162583cab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-13T16:14:23Z",
    "title_canon_sha256": "98fb17e2dd654cd8ad9f37164e0ecc96e0e4d7bc8a9b631a32bb8fcc2c85986b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04715",
    "kind": "arxiv",
    "version": 3
  }
}