Pith Number

pith:HCZYHQFD

pith:2020:HCZYHQFD4ZPV3X5VEQ6SYYIYNK

not attested not anchored not stored refs pending

Semi-global constructions of spacetimes containing curvature singularities

Yannis Angelopoulos

arxiv:2010.05876 v1 · 2020-10-12 · math.AP · gr-qc · 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{HCZYHQFD4ZPV3X5VEQ6SYYIYNK}

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

High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov

Receipt and verification

First computed	2026-07-05T01:42:11.370939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38b383c0a3e65f5ddfb5243d2c61186aad418324ec26c1780b3b14725ad458fa

Aliases

arxiv: 2010.05876 · arxiv_version: 2010.05876v1 · doi: 10.48550/arxiv.2010.05876 · pith_short_12: HCZYHQFD4ZPV · pith_short_16: HCZYHQFD4ZPV3X5V · pith_short_8: HCZYHQFD

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/HCZYHQFD4ZPV3X5VEQ6SYYIYNK \
  | 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: 38b383c0a3e65f5ddfb5243d2c61186aad418324ec26c1780b3b14725ad458fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e636f1e21386278462ebca95c883ce4491c62a413d9b9eb4ac6fb48d455ea7",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-12T17:27:34Z",
    "title_canon_sha256": "94bf36b617d97867482cd4daeec8c9ea1611784715670599a6c36fcdc4b531e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.05876",
    "kind": "arxiv",
    "version": 1
  }
}