Pith Number

pith:53E42MF7

pith:2026:53E42MF7YBYLDGF3AJRKMHOLWG

not attested not anchored not stored refs pending

On $3$-manifolds with small mass and $L^2$-curvature

Antoine Song, Conghan Dong

arxiv:2606.07864 v1 · 2026-06-05 · 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{53E42MF7YBYLDGF3AJRKMHOLWG}

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	2026-06-09T01:04:54.087930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec9cd30bfc070b198bb0262a61dcbb1a5d8ab146fe09938398d3a644fad9245

Aliases

arxiv: 2606.07864 · arxiv_version: 2606.07864v1 · doi: 10.48550/arxiv.2606.07864 · pith_short_12: 53E42MF7YBYL · pith_short_16: 53E42MF7YBYLDGF3 · pith_short_8: 53E42MF7

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/53E42MF7YBYLDGF3AJRKMHOLWG \
  | 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: eec9cd30bfc070b198bb0262a61dcbb1a5d8ab146fe09938398d3a644fad9245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f3cef3dde73c48e3b80c23ad6eec7ed82aefc8d6d9dc134c368880d6274a3e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-05T21:53:03Z",
    "title_canon_sha256": "3b6d56c51fe7723cde27793df261de7e25f11db658602ada8231b1f9df0437b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07864",
    "kind": "arxiv",
    "version": 1
  }
}