Pith Number

pith:FNYPPUC3

pith:2012:FNYPPUC3QSM5GWPZBTGCVQMERN

not attested not anchored not stored refs pending

A gap theorem for Ricci-flat 4-manifolds

Atreyee Bhattacharya, Harish Seshadri

arxiv:1210.7488 v1 · 2012-10-28 · 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{FNYPPUC3QSM5GWPZBTGCVQMERN}

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	2026-05-18T03:42:09.817462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b70f7d05b8499d359f90ccc2ac1848b5096b27ff33d1d361418143a800d932a

Aliases

arxiv: 1210.7488 · arxiv_version: 1210.7488v1 · doi: 10.48550/arxiv.1210.7488 · pith_short_12: FNYPPUC3QSM5 · pith_short_16: FNYPPUC3QSM5GWPZ · pith_short_8: FNYPPUC3

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/FNYPPUC3QSM5GWPZBTGCVQMERN \
  | 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: 2b70f7d05b8499d359f90ccc2ac1848b5096b27ff33d1d361418143a800d932a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac9a1a2ca0f5f2f80c713e2eb8273213ec03f3e7a26b7e23b622ba2ac3ba5da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-28T18:42:50Z",
    "title_canon_sha256": "e179d2fb0cc7ee818a07c00d3934b93155cabda9414ba5e669913d2ef96ccb22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7488",
    "kind": "arxiv",
    "version": 1
  }
}