Pith Number

pith:GRF55CY3

pith:2011:GRF55CY3EJXQI62YCJYLMTRT7R

not attested not anchored not stored refs pending

Convergence of homogeneous manifolds

Jorge Lauret

arxiv:1105.2082 v3 · 2011-05-11 · 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{GRF55CY3EJXQI62YCJYLMTRT7R}

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	2026-05-18T02:58:00.950791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344bde8b1b226f047b581270b64e33fc70634aa0dfece335a1399bb400501bf8

Aliases

arxiv: 1105.2082 · arxiv_version: 1105.2082v3 · doi: 10.48550/arxiv.1105.2082 · pith_short_12: GRF55CY3EJXQ · pith_short_16: GRF55CY3EJXQI62Y · pith_short_8: GRF55CY3

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/GRF55CY3EJXQI62YCJYLMTRT7R \
  | 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: 344bde8b1b226f047b581270b64e33fc70634aa0dfece335a1399bb400501bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f29c020dd9d4fc82c2f5ffee392a823c439d09cddcfd79321b3754f6765fdc29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-11T00:55:44Z",
    "title_canon_sha256": "e3dbd6b73cdb3603390e5ff1e7c2ac7de5e879b05a241335acc942537e57355f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2082",
    "kind": "arxiv",
    "version": 3
  }
}