Pith Number

pith:7GF2S55A

pith:2021:7GF2S55A6H4C2EPJTSVYA766QV

not attested not anchored not stored refs pending

The initial boundary value problem in General Relativity: the umbilic case

Grigorios Fournodavlos, Jacques Smulevici

arxiv:2104.08851 v1 · 2021-04-18 · gr-qc · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GF2S55A6H4C2EPJTSVYA766QV}

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

Undulating Conformal Boundaries in 3D Gravity

Receipt and verification

First computed	2026-07-05T02:32:56.161406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f98ba977a0f1f82d11e99cab807fde855fc5bb91488195d90e387d87d0fb4817

Aliases

arxiv: 2104.08851 · arxiv_version: 2104.08851v1 · doi: 10.48550/arxiv.2104.08851 · pith_short_12: 7GF2S55A6H4C · pith_short_16: 7GF2S55A6H4C2EPJ · pith_short_8: 7GF2S55A

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/7GF2S55A6H4C2EPJTSVYA766QV \
  | 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: f98ba977a0f1f82d11e99cab807fde855fc5bb91488195d90e387d87d0fb4817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b89ff6401deba81f2c7f43a7d0ca48f00cb67137e5922add845cda52378cbf52",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-18T13:25:57Z",
    "title_canon_sha256": "24754d1fc44346fd33f7f765b2c8cab3d68f0881d0140060e04afa33b0c06790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.08851",
    "kind": "arxiv",
    "version": 1
  }
}