Pith Number

pith:W4QGX4JN

pith:2026:W4QGX4JNREM6EGS2WASNQ3OMOZ

not attested not anchored not stored refs pending

Gromov's Conjecture on Positive Scalar Curvature and Simplicial Volume under a Fundamental Group Decay Property

Guoliang Yu, Qiaochu Ma

arxiv:2606.29135 v1 · 2026-06-28 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4QGX4JNREM6EGS2WASNQ3OMOZ}

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	2026-06-30T01:17:53.990990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7206bf12d8919e21a5ab024d86dcc76579bc6a938e15fc43d5d84e4f77e89c7

Aliases

arxiv: 2606.29135 · arxiv_version: 2606.29135v1 · doi: 10.48550/arxiv.2606.29135 · pith_short_12: W4QGX4JNREM6 · pith_short_16: W4QGX4JNREM6EGS2 · pith_short_8: W4QGX4JN

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/W4QGX4JNREM6EGS2WASNQ3OMOZ \
  | 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: b7206bf12d8919e21a5ab024d86dcc76579bc6a938e15fc43d5d84e4f77e89c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11ba2358467cf214d7310d320940d722883fe06cd77480b4a51354d93c01106f",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-28T00:47:13Z",
    "title_canon_sha256": "63d87fc9afca835a376c9f6952d310d15b34a1b2dc51ce7d3f80eebc348a3866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29135",
    "kind": "arxiv",
    "version": 1
  }
}