Pith Number

pith:WHF5646A

pith:2011:WHF5646AURONF7VHGQGE5FWIEI

not attested not anchored not stored refs pending

A local version of Bando's theorem on the real-analyticity of solutions to the Ricci flow

Brett Kotschwar

arxiv:1111.0355 v1 · 2011-11-02 · 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{WHF5646AURONF7VHGQGE5FWIEI}

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	2026-05-18T02:58:00.258437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1cbdf73c0a45cd2fea7340c4e96c8222f798730670ae48a42c9e4c68c8875a0

Aliases

arxiv: 1111.0355 · arxiv_version: 1111.0355v1 · doi: 10.48550/arxiv.1111.0355 · pith_short_12: WHF5646AURON · pith_short_16: WHF5646AURONF7VH · pith_short_8: WHF5646A

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/WHF5646AURONF7VHGQGE5FWIEI \
  | 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: b1cbdf73c0a45cd2fea7340c4e96c8222f798730670ae48a42c9e4c68c8875a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfb07e410b11129b32db4df2e98afd0eb1b7813264594d04ece8d2d5e8c5714b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-11-02T01:11:54Z",
    "title_canon_sha256": "5400c0b0a5e80028a83767009753dacbf2a3d351710c94b7adafc21d3940d06a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0355",
    "kind": "arxiv",
    "version": 1
  }
}