Pith Number

pith:HYYRGSSG

pith:2017:HYYRGSSGUTJINB2BFLWWHH5VBS

not attested not anchored not stored refs pending

Rigidity for the spectral gap on $RCD(K,\infty)$-spaces

Christian Ketterer, Kazumasa Kuwada, Nicola Gigli, Shin-ichi Ohta

arxiv:1709.04017 v1 · 2017-09-12 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYYRGSSGUTJINB2BFLWWHH5VBS}

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	2026-05-18T00:35:15.704882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e31134a46a4d28687412aed639fb50ca0a750597c6aa10b2eb04865edeee0a1

Aliases

arxiv: 1709.04017 · arxiv_version: 1709.04017v1 · doi: 10.48550/arxiv.1709.04017 · pith_short_12: HYYRGSSGUTJI · pith_short_16: HYYRGSSGUTJINB2B · pith_short_8: HYYRGSSG

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/HYYRGSSGUTJINB2BFLWWHH5VBS \
  | 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: 3e31134a46a4d28687412aed639fb50ca0a750597c6aa10b2eb04865edeee0a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9efb23456c1feff0c03e6c6c6312d138f5474a166db48cfe2aab5c99fd64b451",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-09-12T18:50:31Z",
    "title_canon_sha256": "dbae025858a73d82b86f8cef01716b6aae4b652bad0890f441f90e3b58a6368b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04017",
    "kind": "arxiv",
    "version": 1
  }
}