Pith Number

pith:3CF6KONG

pith:2004:3CF6KONGFBT2WRPFF6D3CI5CJK

not attested not anchored not stored refs pending

Prescribing symmetric functions of the eigenvalues of the Ricci tensor

Jeff Viaclovsky, Matthew Gursky

arxiv:math/0409187 v2 · 2004-09-10 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CF6KONGFBT2WRPFF6D3CI5CJK}

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	2026-07-04T15:48:29.275376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d88be539a62867ab45e52f87b123a24a91914cfbd3fd86fd4659347164d2b8b3

Aliases

arxiv: math/0409187 · arxiv_version: math/0409187v2 · doi: 10.48550/arxiv.math/0409187 · pith_short_12: 3CF6KONGFBT2 · pith_short_16: 3CF6KONGFBT2WRPF · pith_short_8: 3CF6KONG

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/3CF6KONGFBT2WRPFF6D3CI5CJK \
  | 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: d88be539a62867ab45e52f87b123a24a91914cfbd3fd86fd4659347164d2b8b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ecaa3ce444fe98c4f76964e89fe1e313d2cde42fc9f64285a898a0ced2c9eb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-09-10T21:09:55Z",
    "title_canon_sha256": "15933fb9c817b7203f83965154b920ee21b15a654cfe1dcea71c330a9d5358a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409187",
    "kind": "arxiv",
    "version": 2
  }
}