Pith Number

pith:EN6NA4AJ

pith:2023:EN6NA4AJS642FRGTVVIPDNNJ6X

not attested not anchored not stored refs pending

On the Stability of Llarull's Theorem in Dimension Three

Brian Allen, Demetre Kazaras, Edward Bryden

arxiv:2305.18567 v2 · 2023-05-29 · 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{EN6NA4AJS642FRGTVVIPDNNJ6X}

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	2026-07-05T07:15:55.632515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

237cd0700997b9a2c4d3ad50f1b5a9f5e98a850509cfc60214daebc6331c64b2

Aliases

arxiv: 2305.18567 · arxiv_version: 2305.18567v2 · doi: 10.48550/arxiv.2305.18567 · pith_short_12: EN6NA4AJS642 · pith_short_16: EN6NA4AJS642FRGT · pith_short_8: EN6NA4AJ

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/EN6NA4AJS642FRGTVVIPDNNJ6X \
  | 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: 237cd0700997b9a2c4d3ad50f1b5a9f5e98a850509cfc60214daebc6331c64b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57350b1895d0d93b80171b1ecc5fcd4dd32eb1cdf0221310bdcbef51959170b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-05-29T18:59:43Z",
    "title_canon_sha256": "61ebc3e23c89f5332476aa0c2aa265627189d54d1d61c192aadf086bdf004986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.18567",
    "kind": "arxiv",
    "version": 2
  }
}