Pith Number

pith:Y2M2NVY6

pith:2014:Y2M2NVY6HSZ452DOJBANTZHQCX

not attested not anchored not stored refs pending

Asymptotic estimates and compactness of expanding gradient Ricci solitons

Alix Deruelle

arxiv:1411.2366 v1 · 2014-11-10 · 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{Y2M2NVY6HSZ452DOJBANTZHQCX}

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	2026-05-18T02:38:07.687377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c699a6d71e3cb3cee86e4840d9e4f015ca2b6946bad07fcfac2cca0e9d257966

Aliases

arxiv: 1411.2366 · arxiv_version: 1411.2366v1 · doi: 10.48550/arxiv.1411.2366 · pith_short_12: Y2M2NVY6HSZ4 · pith_short_16: Y2M2NVY6HSZ452DO · pith_short_8: Y2M2NVY6

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/Y2M2NVY6HSZ452DOJBANTZHQCX \
  | 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: c699a6d71e3cb3cee86e4840d9e4f015ca2b6946bad07fcfac2cca0e9d257966

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6a68ca0afb1c8ee3be0802c68f59ee2477ede784fc37c0ca3dcd4fbb2e9aef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-10T09:51:22Z",
    "title_canon_sha256": "3350e6b5a39497ffa25ca6686f07e9e935cb196b4a36f42e46611ab63698140f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2366",
    "kind": "arxiv",
    "version": 1
  }
}