Pith Number

pith:WI7ANZW4

pith:2014:WI7ANZW4ICYUGT6IFLLGTHNDI5

not attested not anchored not stored refs pending

Stability and instability of expanding solutions to the Lorentzian constant-positive-mean-curvature flow

Willie Wai-Yeung Wong

arxiv:1404.0223 v3 · 2014-04-01 · math.DG · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WI7ANZW4ICYUGT6IFLLGTHNDI5}

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	2026-05-18T02:40:18.322975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23e06e6dc40b1434fc82ad6699da34778dd3d87bb9f230fcd8f2ad5ca543f21

Aliases

arxiv: 1404.0223 · arxiv_version: 1404.0223v3 · doi: 10.48550/arxiv.1404.0223 · pith_short_12: WI7ANZW4ICYU · pith_short_16: WI7ANZW4ICYUGT6I · pith_short_8: WI7ANZW4

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/WI7ANZW4ICYUGT6IFLLGTHNDI5 \
  | 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: b23e06e6dc40b1434fc82ad6699da34778dd3d87bb9f230fcd8f2ad5ca543f21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168b0b89558f98a9d71ed78ec87afe5f2983cf6bc3af2696457a24c7d52b006b",
    "cross_cats_sorted": [
      "gr-qc",
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-01T12:55:54Z",
    "title_canon_sha256": "eca8f1751a83e26c5cbbf48c6f240695c2e0d16501b7b6d186ce33ddfdae7c2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0223",
    "kind": "arxiv",
    "version": 3
  }
}