Pith Number

pith:4EK64RPC

pith:2016:4EK64RPCBBSDRLBN7M6V3ZJIPL

not attested not anchored not stored refs pending

Rigidity phenomena in manifolds with boundary under a lower weighted Ricci curvature bound

Yohei Sakurai

arxiv:1605.02493 v2 · 2016-05-09 · 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{4EK64RPCBBSDRLBN7M6V3ZJIPL}

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	2026-05-18T00:44:13.813798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e115ee45e2086438ac2dfb3d5de5287ac30dd72f2f87d86acae7b8022fcd5bae

Aliases

arxiv: 1605.02493 · arxiv_version: 1605.02493v2 · doi: 10.48550/arxiv.1605.02493 · pith_short_12: 4EK64RPCBBSD · pith_short_16: 4EK64RPCBBSDRLBN · pith_short_8: 4EK64RPC

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/4EK64RPCBBSDRLBN7M6V3ZJIPL \
  | 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: e115ee45e2086438ac2dfb3d5de5287ac30dd72f2f87d86acae7b8022fcd5bae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581f49b41ba6b84426bfd9609da8bda257c6965365389e46a886ceb818b8d74b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-09T09:41:34Z",
    "title_canon_sha256": "a72b55d36a130a38d580883469aeaad28fb9282449c3592b46c942e5ba9ad7b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02493",
    "kind": "arxiv",
    "version": 2
  }
}