Pith Number

pith:KHOKVCU5

pith:2014:KHOKVCU5PO4YPHGIXAMKZTGLFN

not attested not anchored not stored refs pending

Stability of non compact steady and expanding gradient Ricci solitons

Alix Deruelle

arxiv:1404.2390 v1 · 2014-04-09 · 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{KHOKVCU5PO4YPHGIXAMKZTGLFN}

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	2026-05-18T02:54:31.645516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51dcaa8a9d7bb9879cc8b818accccb2b642be22b839bf1d8dd56842597a591a8

Aliases

arxiv: 1404.2390 · arxiv_version: 1404.2390v1 · doi: 10.48550/arxiv.1404.2390 · pith_short_12: KHOKVCU5PO4Y · pith_short_16: KHOKVCU5PO4YPHGI · pith_short_8: KHOKVCU5

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/KHOKVCU5PO4YPHGIXAMKZTGLFN \
  | 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: 51dcaa8a9d7bb9879cc8b818accccb2b642be22b839bf1d8dd56842597a591a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9693c646aa0b6fbaf93881780fd473795fef15f3bdad617fd81dec13ff1b7e0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-09T08:05:09Z",
    "title_canon_sha256": "7714f16fad09d1d922cd86a3502b44499cc6cee0039a26dc1561542f7fe5d476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2390",
    "kind": "arxiv",
    "version": 1
  }
}