Pith Number

pith:32CIMATB

pith:2018:32CIMATBWA3W2CBQIVTOBB267M

not attested not anchored not stored refs pending

The canonical Einstein metric on $G_{2}$ is dynamically unstable under the Ricci flow

Stuart James Hall

arxiv:1808.00344 v2 · 2018-08-01 · 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{32CIMATBWA3W2CBQIVTOBB267M}

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	2026-05-17T23:54:11.206467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de84860261b0376d08304566e0875efb08dfdbcd782d83f2abe5e380178872a5

Aliases

arxiv: 1808.00344 · arxiv_version: 1808.00344v2 · doi: 10.48550/arxiv.1808.00344 · pith_short_12: 32CIMATBWA3W · pith_short_16: 32CIMATBWA3W2CBQ · pith_short_8: 32CIMATB

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/32CIMATBWA3W2CBQIVTOBB267M \
  | 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: de84860261b0376d08304566e0875efb08dfdbcd782d83f2abe5e380178872a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fde7a4832308bceaf3fd25ff0038794ab9d2c130124e5068d149ec1f0e8779a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-01T14:51:46Z",
    "title_canon_sha256": "034f22026f2ba5b9e1a46851483f761566b00c0d0a7bc561336ece28ee3f00e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00344",
    "kind": "arxiv",
    "version": 2
  }
}