Pith Number

pith:WGOF7NIL

pith:2016:WGOF7NILLTAJWUY4TKZIKGSZEO

not attested not anchored not stored refs pending

Exotic $\mathbb{R}^4$'s and positive isotropic curvature

Hong Huang

arxiv:1605.00965 v2 · 2016-05-03 · 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{WGOF7NILLTAJWUY4TKZIKGSZEO}

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	2026-05-18T01:15:33.806238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b19c5fb50b5cc09b531c9ab2851a5923bf6ad47dc372d146a6ec2cfcbd847d62

Aliases

arxiv: 1605.00965 · arxiv_version: 1605.00965v2 · doi: 10.48550/arxiv.1605.00965 · pith_short_12: WGOF7NILLTAJ · pith_short_16: WGOF7NILLTAJWUY4 · pith_short_8: WGOF7NIL

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/WGOF7NILLTAJWUY4TKZIKGSZEO \
  | 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: b19c5fb50b5cc09b531c9ab2851a5923bf6ad47dc372d146a6ec2cfcbd847d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809d4e230ff5ecc5344fa5b8ffa432190365e5731fd35018618b3e6c38b2f25d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-03T16:13:34Z",
    "title_canon_sha256": "ad7ef5a0fbcb5c53339e0d4fc44f2d2d1cf44dea2ad7f7e955c6f221f7d9db90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00965",
    "kind": "arxiv",
    "version": 2
  }
}