Pith Number

pith:DTCOTK5R

pith:2020:DTCOTK5RX25DSRZO4DAD62ZRBI

not attested not anchored not stored refs pending

Global nonlinear stability of Minkowski space for spacelike-characteristic initial data

Olivier Graf

arxiv:2010.12434 v2 · 2020-10-23 · math.AP · gr-qc · 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{DTCOTK5RX25DSRZO4DAD62ZRBI}

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

Stability of the Euclidean 3-ball under L2-curvature pinching

Receipt and verification

First computed	2026-07-05T02:13:33.963070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cc4e9abb1beba39472ee0c03f6b310a3590961ac4afbeb90f96e7ef6940a24d

Aliases

arxiv: 2010.12434 · arxiv_version: 2010.12434v2 · doi: 10.48550/arxiv.2010.12434 · pith_short_12: DTCOTK5RX25D · pith_short_16: DTCOTK5RX25DSRZO · pith_short_8: DTCOTK5R

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/DTCOTK5RX25DSRZO4DAD62ZRBI \
  | 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: 1cc4e9abb1beba39472ee0c03f6b310a3590961ac4afbeb90f96e7ef6940a24d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e946cee2caf19958bd68fdba2fb1897b9f1f4f04dae6b0c9d8105413ef2630c1",
    "cross_cats_sorted": [
      "gr-qc",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-10-23T14:27:30Z",
    "title_canon_sha256": "9a6e4f0b1c833cf6aa8a9f7d8bc0199cc2db419b11d044353fada63ac7af29fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.12434",
    "kind": "arxiv",
    "version": 2
  }
}