Pith Number

pith:AE42YGP7

pith:2026:AE42YGP7I4HMUOI5CDTRBKEVDJ

not attested not anchored not stored refs pending

Minimal spheres and scalar curvature

Talant Talipov

arxiv:2605.21607 v1 · 2026-05-20 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AE42YGP7I4HMUOI5CDTRBKEVDJ}

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	2026-05-22T01:03:25.155508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0139ac19ff470eca391d10e710a8951a74e75bfc3e30c2065740f86fd523756e

Aliases

arxiv: 2605.21607 · arxiv_version: 2605.21607v1 · doi: 10.48550/arxiv.2605.21607 · pith_short_12: AE42YGP7I4HM · pith_short_16: AE42YGP7I4HMUOI5 · pith_short_8: AE42YGP7

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/AE42YGP7I4HMUOI5CDTRBKEVDJ \
  | 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: 0139ac19ff470eca391d10e710a8951a74e75bfc3e30c2065740f86fd523756e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86918d0a1ebbe999e582be94d6691ac5c93db5caf502ecee119473d654978d2d",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-20T18:15:16Z",
    "title_canon_sha256": "9853488791927efa5ee992db5eca0c9a5808898876a5d58c44838771554d1852"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21607",
    "kind": "arxiv",
    "version": 1
  }
}