Pith Number

pith:O4ASSSWN

pith:2017:O4ASSSWN2XSG46AXWKA7LZQEU4

not attested not anchored not stored refs pending

Bounds on harmonic radius and limits of manifolds with bounded Bakry-\'Emery Ricci curvature

Meng Zhu, Qi S Zhang

arxiv:1705.10071 v2 · 2017-05-29 · 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{O4ASSSWN2XSG46AXWKA7LZQEU4}

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	2026-05-18T00:40:57.527329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7701294acdd5e46e7817b281f5e604a73953322d889db0ed99935a6d25183ce6

Aliases

arxiv: 1705.10071 · arxiv_version: 1705.10071v2 · doi: 10.48550/arxiv.1705.10071 · pith_short_12: O4ASSSWN2XSG · pith_short_16: O4ASSSWN2XSG46AX · pith_short_8: O4ASSSWN

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/O4ASSSWN2XSG46AXWKA7LZQEU4 \
  | 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: 7701294acdd5e46e7817b281f5e604a73953322d889db0ed99935a6d25183ce6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38abc895d4f29c7d1fd4d7132f7106cba4e726ed99576b61aba88a592e5c9117",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-29T08:37:08Z",
    "title_canon_sha256": "424f1626c3763436d230364a3d2c5707a7a584c83ad2d0d5cd06723105d162b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10071",
    "kind": "arxiv",
    "version": 2
  }
}