Pith Number

pith:JUM3GSIE

pith:2022:JUM3GSIESZLRK2HFRUQCGW6RZU

not attested not anchored not stored refs pending

Families of degenerating Poincar\'e-Einstein metrics on $\mathbb{R}^4$

Carlos A. Alvarado, Daniel A. Santiago, Tristan Ozuch

arxiv:2206.07993 v1 · 2022-06-16 · 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{JUM3GSIESZLRK2HFRUQCGW6RZU}

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	2026-07-05T04:32:21.018495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d19b3490496571568e58d20235bd1cd0c501061b88fd08024635649dbed7362

Aliases

arxiv: 2206.07993 · arxiv_version: 2206.07993v1 · doi: 10.48550/arxiv.2206.07993 · pith_short_12: JUM3GSIESZLR · pith_short_16: JUM3GSIESZLRK2HF · pith_short_8: JUM3GSIE

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/JUM3GSIESZLRK2HFRUQCGW6RZU \
  | 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: 4d19b3490496571568e58d20235bd1cd0c501061b88fd08024635649dbed7362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c263962252660b024b7e0b3d767a8628c5df388cf483f2dd81aa65e2054911d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-06-16T08:14:29Z",
    "title_canon_sha256": "f52ed63ab90e3306fa87e812608b8a08943d3bbc4d82a4ccbcd054cd7bc2f374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07993",
    "kind": "arxiv",
    "version": 1
  }
}