Pith Number

pith:DQJKTPJM

pith:2026:DQJKTPJMDAQR3OKMXYV2K2IAWP

not attested not anchored not stored refs pending

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones

Klaus Kroencke, Markus Wolff

arxiv:2607.11411 v1 · 2026-07-13 · 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{DQJKTPJMDAQR3OKMXYV2K2IAWP}

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	2026-07-14T02:22:00.842174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c12a9bd2c18211db94cbe2ba56900b3e77692e203c767d9900557872823520f

Aliases

arxiv: 2607.11411 · arxiv_version: 2607.11411v1 · doi: 10.48550/arxiv.2607.11411 · pith_short_12: DQJKTPJMDAQR · pith_short_16: DQJKTPJMDAQR3OKM · pith_short_8: DQJKTPJM

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/DQJKTPJMDAQR3OKMXYV2K2IAWP \
  | 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: 1c12a9bd2c18211db94cbe2ba56900b3e77692e203c767d9900557872823520f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6fe691639d0e693e21a558a046916bf77e54128f6381c2215bcd3e623304a31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-13T11:18:07Z",
    "title_canon_sha256": "e34ee80ddbf0dcd3daf210c763a3c6832e5fc6034b503044b300b833eb7a6870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11411",
    "kind": "arxiv",
    "version": 1
  }
}