Pith Number

pith:VD6OBNCH

pith:2017:VD6OBNCHTQD4F4EDILGBGXGK3Y

not attested not anchored not stored refs pending

Positive scalar curvature and the Euler class

Jianqing Yu, Weiping Zhang

arxiv:1702.04951 v1 · 2017-02-16 · 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{VD6OBNCHTQD4F4EDILGBGXGK3Y}

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	2026-05-18T00:21:14.612567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8fce0b4479c07c2f08342cc135ccade1d011cc21137aec5e42bee0e69aa8259

Aliases

arxiv: 1702.04951 · arxiv_version: 1702.04951v1 · doi: 10.48550/arxiv.1702.04951 · pith_short_12: VD6OBNCHTQD4 · pith_short_16: VD6OBNCHTQD4F4ED · pith_short_8: VD6OBNCH

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/VD6OBNCHTQD4F4EDILGBGXGK3Y \
  | 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: a8fce0b4479c07c2f08342cc135ccade1d011cc21137aec5e42bee0e69aa8259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc6bef1defc40cc4028f9cc1d7c65307ff93c24e2d402a8d08d8297d08c18ff2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-02-16T12:56:59Z",
    "title_canon_sha256": "570e6cb60e93db1b6c4d662534c47d51c9202d59efffdfb524a762f0e5140dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04951",
    "kind": "arxiv",
    "version": 1
  }
}