Pith Number

pith:U6ZHQBBA

pith:2026:U6ZHQBBAXSLYFCPLQL6CC6WJMR

not attested not anchored not stored refs pending

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity

Juncheol Pyo, Xiaoxiang Chai, Yimin Chen

arxiv:2606.19858 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{U6ZHQBBAXSLYFCPLQL6CC6WJMR}

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	2026-06-19T16:12:37.160250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b2780420bc978289eb82fc217ac964565c600bb28b9c2d14a2606229cc1e6f

Aliases

arxiv: 2606.19858 · arxiv_version: 2606.19858v1 · doi: 10.48550/arxiv.2606.19858 · pith_short_12: U6ZHQBBAXSLY · pith_short_16: U6ZHQBBAXSLYFCPL · pith_short_8: U6ZHQBBA

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/U6ZHQBBAXSLYFCPLQL6CC6WJMR \
  | 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: a7b2780420bc978289eb82fc217ac964565c600bb28b9c2d14a2606229cc1e6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b29b77a34d9ba5a5ea9ebeaaa6f0b53c71d32f8f412006b3e9323148a317ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-18T07:09:49Z",
    "title_canon_sha256": "72e3eed278e0670962e420369f06c61bfc71369492042ac62405b8cb919d3078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19858",
    "kind": "arxiv",
    "version": 1
  }
}