Pith Number

pith:5CCAS2KF

pith:2026:5CCAS2KF5PKORQQWINEQF7S7NW

not attested not anchored not stored refs pending

Positive Scalar Curvature Obstructions via Singular Dimension Descent

Jintian Zhu, Yuchen Bi

arxiv:2606.20528 v1 · 2026-06-18 · 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{5CCAS2KF5PKORQQWINEQF7S7NW}

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	2026-06-19T16:13:14.569224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e884096945ebd4e8c216434902fe5f6d960ba0a006162a930f99e19969a6c300

Aliases

arxiv: 2606.20528 · arxiv_version: 2606.20528v1 · doi: 10.48550/arxiv.2606.20528 · pith_short_12: 5CCAS2KF5PKO · pith_short_16: 5CCAS2KF5PKORQQW · pith_short_8: 5CCAS2KF

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/5CCAS2KF5PKORQQWINEQF7S7NW \
  | 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: e884096945ebd4e8c216434902fe5f6d960ba0a006162a930f99e19969a6c300

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4469d62d634fa1d408d0bea3869df95f8a893b37d422331a7fa65b2a498a34f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-18T17:40:20Z",
    "title_canon_sha256": "370a8198bc1d4240c399c3b8ee86dfb8cbe6a3166f7162765d997591f77a2eca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20528",
    "kind": "arxiv",
    "version": 1
  }
}