Pith Number

pith:G5OSCX72

pith:2023:G5OSCX72V5MH5N6PC54AZDZZ2J

not attested not anchored not stored refs pending

The twisted G$_2$ equation for strong G$_2$-structures with torsion

Alberto Raffero, Anna Fino, Luc\'ia Mart\'in-Merch\'an

arxiv:2306.07128 v2 · 2023-06-12 · 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{G5OSCX72V5MH5N6PC54AZDZZ2J}

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	2026-07-05T09:54:42.761203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375d215ffaaf587eb7cf17780c8f39d25d3aa36bc8678163b04612084bb4c5d6

Aliases

arxiv: 2306.07128 · arxiv_version: 2306.07128v2 · doi: 10.48550/arxiv.2306.07128 · pith_short_12: G5OSCX72V5MH · pith_short_16: G5OSCX72V5MH5N6P · pith_short_8: G5OSCX72

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/G5OSCX72V5MH5N6PC54AZDZZ2J \
  | 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: 375d215ffaaf587eb7cf17780c8f39d25d3aa36bc8678163b04612084bb4c5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f30592969e81d9257e3234561c49552dd757fa810e0710694417b1b155c333",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-06-12T14:06:57Z",
    "title_canon_sha256": "6f0112719fa2352b80740e443a030af0ebc57c6d3784048c83657db431246eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.07128",
    "kind": "arxiv",
    "version": 2
  }
}