Pith Number

pith:XFGKVJFC

pith:2021:XFGKVJFCHQQUUCSO5UAQUDK7HR

not attested not anchored not stored refs pending

Projective differential geometry and asymptotic analysis in General Relativity

Jack Borthwick

arxiv:2109.05834 v2 · 2021-09-13 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFGKVJFCHQQUUCSO5UAQUDK7HR}

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

Ti and Spi, Carrollian extended boundaries at timelike and spatial infinity

Receipt and verification

First computed	2026-07-05T04:02:19.219591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b94caaa4a23c214a0a4eed010a0d5f3c5a034d8228abe857bae714c80d17af3b

Aliases

arxiv: 2109.05834 · arxiv_version: 2109.05834v2 · doi: 10.48550/arxiv.2109.05834 · pith_short_12: XFGKVJFCHQQU · pith_short_16: XFGKVJFCHQQUUCSO · pith_short_8: XFGKVJFC

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/XFGKVJFCHQQUUCSO5UAQUDK7HR \
  | 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: b94caaa4a23c214a0a4eed010a0d5f3c5a034d8228abe857bae714c80d17af3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22c1031c724e9d1fd46d7eea94874e6103441bdf51d8a9119779e5a06df92321",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-09-13T10:03:58Z",
    "title_canon_sha256": "ae42ab72faeb2929e9f7fcae0a92fec7ecd39240763889bc680f83166cf4f669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05834",
    "kind": "arxiv",
    "version": 2
  }
}