Pith Number

pith:YSP3EEH7

pith:2015:YSP3EEH7ULH62YZSFQWFLETF76

not attested not anchored not stored refs pending

A bound for the order of the fundamental group of a complete noncompact Ricci shrinker

Bennett Chow, Peng Lu

arxiv:1506.05744 v1 · 2015-06-18 · 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{YSP3EEH7ULH62YZSFQWFLETF76}

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	2026-05-18T01:44:09.814201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c49fb210ffa2cfed63322c2c559265ffa57d9d04415a429b77b09b39cad86bdd

Aliases

arxiv: 1506.05744 · arxiv_version: 1506.05744v1 · doi: 10.48550/arxiv.1506.05744 · pith_short_12: YSP3EEH7ULH6 · pith_short_16: YSP3EEH7ULH62YZS · pith_short_8: YSP3EEH7

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/YSP3EEH7ULH62YZSFQWFLETF76 \
  | 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: c49fb210ffa2cfed63322c2c559265ffa57d9d04415a429b77b09b39cad86bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce553417e1f6f0ca8812c02c3f815242f21849cdb0f3b2edebbf7f14b16963e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-18T16:40:34Z",
    "title_canon_sha256": "6aec42a23523b2ed50a398924f3deb22867633760f696eb22c32f49d5126fa7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05744",
    "kind": "arxiv",
    "version": 1
  }
}