Pith Number

pith:JIQ7L4NX

pith:2018:JIQ7L4NXK4DMTJ3BPQABB4SNMK

not attested not anchored not stored refs pending

A gap theorem for positive Einstein metrics on the four-sphere

Harish Seshadri, Hisaaki Endo, Kazuo Akutagawa

arxiv:1801.10305 v2 · 2018-01-31 · 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{JIQ7L4NXK4DMTJ3BPQABB4SNMK}

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	2026-05-18T00:23:52.044280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a21f5f1b75706c9a7617c0010f24d62b4039650dcd10e4705778e511054a083

Aliases

arxiv: 1801.10305 · arxiv_version: 1801.10305v2 · doi: 10.48550/arxiv.1801.10305 · pith_short_12: JIQ7L4NXK4DM · pith_short_16: JIQ7L4NXK4DMTJ3B · pith_short_8: JIQ7L4NX

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/JIQ7L4NXK4DMTJ3BPQABB4SNMK \
  | 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: 4a21f5f1b75706c9a7617c0010f24d62b4039650dcd10e4705778e511054a083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9810ef787d3aac4e42b2e6e8c51f7cf093ba4dd554010563bf00047593d5265d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-31T05:29:24Z",
    "title_canon_sha256": "402c9933981695475e17607c9fe088026a60463aff844e7deb60b1d41ed88b31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10305",
    "kind": "arxiv",
    "version": 2
  }
}