Pith Number

pith:WYBRF577

pith:2020:WYBRF577PTQ4Z2IDCT5X44FORN

not attested not anchored not stored refs pending

Stable Big Bang formation for Einstein's equations: The complete sub-critical regime

Grigorios Fournodavlos, Igor Rodnianski, Jared Speck

arxiv:2012.05888 v2 · 2020-12-10 · 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{WYBRF577PTQ4Z2IDCT5X44FORN}

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

The free boundary problem in general relativity

Receipt and verification

First computed	2026-07-05T06:40:26.456760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b60312f7ff7ce1cce90314fb7e70ae8b526b9644abe007ecb630b399e6392df6

Aliases

arxiv: 2012.05888 · arxiv_version: 2012.05888v2 · doi: 10.48550/arxiv.2012.05888 · pith_short_12: WYBRF577PTQ4 · pith_short_16: WYBRF577PTQ4Z2ID · pith_short_8: WYBRF577

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/WYBRF577PTQ4Z2IDCT5X44FORN \
  | 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: b60312f7ff7ce1cce90314fb7e70ae8b526b9644abe007ecb630b399e6392df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0a1355458ac2c9714336315513985bcf4545211c346159e8dddc6df3bce6463",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-10T18:49:09Z",
    "title_canon_sha256": "730e1c6343ec505b92d888c6a0d8d1ca2c6d6d64b6cdaeca34ca00c283318904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05888",
    "kind": "arxiv",
    "version": 2
  }
}