Pith Number

pith:UQJUPB2Z

pith:2021:UQJUPB2ZXDKFUXFDHSJ2QEKJPD

not attested not anchored not stored refs pending

Homogeneous Einstein Metrics and Butterflies

Christoph B\"ohm, Megan M. Kerr

arxiv:2107.06609 v2 · 2021-07-14 · 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{UQJUPB2ZXDKFUXFDHSJ2QEKJPD}

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.

Cited by

1 paper in Pith

TACTIC: Task-Agnostic Contrastive pre-Training for Inter-Agent Communication

Receipt and verification

First computed	2026-07-05T06:07:19.174330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a413478759b8d45a5ca33c93a8114978c9d3e9ce3c01537ecf667092ea968f36

Aliases

arxiv: 2107.06609 · arxiv_version: 2107.06609v2 · doi: 10.48550/arxiv.2107.06609 · pith_short_12: UQJUPB2ZXDKF · pith_short_16: UQJUPB2ZXDKFUXFD · pith_short_8: UQJUPB2Z

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/UQJUPB2ZXDKFUXFDHSJ2QEKJPD \
  | 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: a413478759b8d45a5ca33c93a8114978c9d3e9ce3c01537ecf667092ea968f36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c010cbf5cfa58927babe27aeeebea138749334dc92f7f0dbb2ea9852147dab46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-07-14T11:07:02Z",
    "title_canon_sha256": "6b50b4a933c820da12c5652205050bfba898f4575c23107e3a0d97b3dc8cbbef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.06609",
    "kind": "arxiv",
    "version": 2
  }
}