Pith Number

pith:KEIYJ2HV

pith:2015:KEIYJ2HVISEGA3KW5SPGHQWHWU

not attested not anchored not stored refs pending

KAWA lecture notes on the K\"ahler-Ricci flow

Valentino Tosatti

arxiv:1508.04823 v5 · 2015-08-19 · math.DG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEIYJ2HVISEGA3KW5SPGHQWHWU}

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	2026-05-17T23:45:21.308809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

511184e8f54488606d56ec9e63c2c7b5340c8c08112fc5489b4646d546fe5ecc

Aliases

arxiv: 1508.04823 · arxiv_version: 1508.04823v5 · doi: 10.48550/arxiv.1508.04823 · pith_short_12: KEIYJ2HVISEG · pith_short_16: KEIYJ2HVISEGA3KW · pith_short_8: KEIYJ2HV

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/KEIYJ2HVISEGA3KW5SPGHQWHWU \
  | 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: 511184e8f54488606d56ec9e63c2c7b5340c8c08112fc5489b4646d546fe5ecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dd4a335a766a7ca659d586858cd3b263c2fc3df90b2b37d3d41a5d359317d25",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-19T22:51:34Z",
    "title_canon_sha256": "f322ca566507c77b4a2a0d56ea16b5f3a977b25c77548a42085636293ee5a659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04823",
    "kind": "arxiv",
    "version": 5
  }
}