Pith Number

pith:XOGYESLX

pith:2016:XOGYESLXMEZMG4F3YEJNFH7SXF

not attested not anchored not stored refs pending

Essential dimension of group schemes over a local scheme

Dajano Tossici

arxiv:1602.07187 v3 · 2016-02-23 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XOGYESLXMEZMG4F3YEJNFH7SXF}

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	2026-05-18T00:35:51.859395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb8d8249776132c370bbc112d29ff2b96f0ab0e8b0e53cfa6c917eb23710f18b

Aliases

arxiv: 1602.07187 · arxiv_version: 1602.07187v3 · doi: 10.48550/arxiv.1602.07187 · pith_short_12: XOGYESLXMEZM · pith_short_16: XOGYESLXMEZMG4F3 · pith_short_8: XOGYESLX

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/XOGYESLXMEZMG4F3YEJNFH7SXF \
  | 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: bb8d8249776132c370bbc112d29ff2b96f0ab0e8b0e53cfa6c917eb23710f18b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf936cf0e7637c78c300bdbf917b0c5655b64ce1dd6b32f8ef9c56972ba96839",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-23T15:16:51Z",
    "title_canon_sha256": "0a4442218431ada7eaeb88ef7e85e0ace05e34e9516be4078e596c0fa6163998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07187",
    "kind": "arxiv",
    "version": 3
  }
}