Pith Number

pith:ZYVY7KNH

pith:2019:ZYVY7KNH35WQTUCUQQWNLMUI3A

not attested not anchored not stored refs pending

Evolution of relative Yamabe constant under Ricci Flow

Boris Botvinnik, Peng Lu

arxiv:1901.11169 v1 · 2019-01-31 · 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{ZYVY7KNH35WQTUCUQQWNLMUI3A}

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	2026-05-17T23:55:02.509298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2b8fa9a7df6d09d054842cd5b288d8076e1ed5f59d46f41e0f611b8756853f

Aliases

arxiv: 1901.11169 · arxiv_version: 1901.11169v1 · doi: 10.48550/arxiv.1901.11169 · pith_short_12: ZYVY7KNH35WQ · pith_short_16: ZYVY7KNH35WQTUCU · pith_short_8: ZYVY7KNH

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/ZYVY7KNH35WQTUCUQQWNLMUI3A \
  | 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: ce2b8fa9a7df6d09d054842cd5b288d8076e1ed5f59d46f41e0f611b8756853f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05523e490d970155dfefb1def96b5124ad86742adf79916e9f6531f419fafa2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-01-31T01:48:13Z",
    "title_canon_sha256": "6766102c952adef036b900903831cf502912bc468c319ea5629bc2a4a2f5cd7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11169",
    "kind": "arxiv",
    "version": 1
  }
}