Pith Number

pith:VYR6S6DS

pith:2015:VYR6S6DSJQVBTXDUZATGRULCMR

not attested not anchored not stored refs pending

Uniqueness of asymptotic cones of complete noncompact shrinking gradient Ricci solitons with Ricci curvature decay

Bennett Chow, Peng Lu

arxiv:1506.03054 v1 · 2015-06-05 · 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{VYR6S6DSJQVBTXDUZATGRULCMR}

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	2026-05-18T01:55:40.111469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae23e978724c2a19dc74c82668d162647268d0a45fb52cabda167214d7b644c5

Aliases

arxiv: 1506.03054 · arxiv_version: 1506.03054v1 · doi: 10.48550/arxiv.1506.03054 · pith_short_12: VYR6S6DSJQVB · pith_short_16: VYR6S6DSJQVBTXDU · pith_short_8: VYR6S6DS

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/VYR6S6DSJQVBTXDUZATGRULCMR \
  | 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: ae23e978724c2a19dc74c82668d162647268d0a45fb52cabda167214d7b644c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fd6a91022c12ba824b9718ebd83367546f89ac4b2bb6981854514a2b9eae51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-05T20:40:31Z",
    "title_canon_sha256": "8162688466fd6b2d629dec733b5abc2461449193a4823eb1282f0a36e78dc5be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03054",
    "kind": "arxiv",
    "version": 1
  }
}