Pith Number

pith:PXHSMW5H

pith:2015:PXHSMW5HE7S7Z7SJPC6MDWSQJ6

not attested not anchored not stored refs pending

On dimensions of tangent cones in limit spaces with lower Ricci curvature bounds

Nan Li, Vitali Kapovitch

arxiv:1506.02949 v5 · 2015-06-09 · 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{PXHSMW5HE7S7Z7SJPC6MDWSQJ6}

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	2026-05-18T01:29:13.287850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dcf265ba727e5fcfe4978bcc1da504fbfaeaa10b20dc146cee3b8fddc13656c

Aliases

arxiv: 1506.02949 · arxiv_version: 1506.02949v5 · doi: 10.48550/arxiv.1506.02949 · pith_short_12: PXHSMW5HE7S7 · pith_short_16: PXHSMW5HE7S7Z7SJ · pith_short_8: PXHSMW5H

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/PXHSMW5HE7S7Z7SJPC6MDWSQJ6 \
  | 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: 7dcf265ba727e5fcfe4978bcc1da504fbfaeaa10b20dc146cee3b8fddc13656c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e83fdb627b75888bbe66fc8f9d4be8562da01bc2f66c6aaa3c9f8231dbcd75bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-09T15:03:54Z",
    "title_canon_sha256": "4a5c2d1a1d67789b3cfb33120d2dc3f30a984cfdcdf1ea00fd5b3720fccb8b86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02949",
    "kind": "arxiv",
    "version": 5
  }
}