Pith Number

pith:24YWJUKU

pith:2005:24YWJUKUWATOMYGSDJBQIN54WX

not attested not anchored not stored refs pending

On the Critical Points of the E_k Functionals in Kahler Geometry

Valentino Tosatti

arxiv:math/0506021 v2 · 2005-06-01 · 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{24YWJUKUWATOMYGSDJBQIN54WX}

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	2026-07-04T15:11:54.903826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73164d154b026e660d21a430437bcb5fc4a0acbd422362b4280b24261155d3e

Aliases

arxiv: math/0506021 · arxiv_version: math/0506021v2 · doi: 10.48550/arxiv.math/0506021 · pith_short_12: 24YWJUKUWATO · pith_short_16: 24YWJUKUWATOMYGS · pith_short_8: 24YWJUKU

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/24YWJUKUWATOMYGSDJBQIN54WX \
  | 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: d73164d154b026e660d21a430437bcb5fc4a0acbd422362b4280b24261155d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb9a2f29bd9c6f179ef93bf59bb3d67a70c9132f3322cb9513d5c6ddbeacfa02",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-06-01T16:18:59Z",
    "title_canon_sha256": "f39aa32a08d9120f993833d467aa256d7f0f170bcfe1989e6089139186986eaf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506021",
    "kind": "arxiv",
    "version": 2
  }
}