Pith Number

pith:4EMHQZMN

pith:2020:4EMHQZMNULXLV3G7ZK4X5HZX3I

not attested not anchored not stored refs pending

Asymptotically Kasner-like singularities

Grigorios Fournodavlos, Jonathan Luk

arxiv:2003.13591 v2 · 2020-03-30 · gr-qc · math-ph · math.AP · 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{4EMHQZMNULXLV3G7ZK4X5HZX3I}

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	2026-07-05T04:23:33.626543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e11878658da2eebaecdfcab97e9f37da00e7989dc7feb6ff73a7a9770d80f90b

Aliases

arxiv: 2003.13591 · arxiv_version: 2003.13591v2 · doi: 10.48550/arxiv.2003.13591 · pith_short_12: 4EMHQZMNULXL · pith_short_16: 4EMHQZMNULXLV3G7 · pith_short_8: 4EMHQZMN

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/4EMHQZMNULXLV3G7ZK4X5HZX3I \
  | 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: e11878658da2eebaecdfcab97e9f37da00e7989dc7feb6ff73a7a9770d80f90b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d30d94b9e403b2aa8f800844ad7647801da5e4bdda08ed6060a6a0cd30d81ce6",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-03-30T16:18:22Z",
    "title_canon_sha256": "bd8c794f512d256a3ae04f80e63c2a14f5ea774e94a45ac771ebeb3410fc96ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13591",
    "kind": "arxiv",
    "version": 2
  }
}