Pith Number

pith:3GRCSNL6

pith:2015:3GRCSNL6P5XCRHU2WK4XWDG424

not attested not anchored not stored refs pending

$3$-dimensional loops on non-solvable reductive spaces

\'Agota Figula

arxiv:1507.00334 v1 · 2015-07-01 · 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{3GRCSNL6P5XCRHU2WK4XWDG424}

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	2026-05-18T01:37:26.867336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9a229357e7f6e289e9ab2b97b0cdcd70ff9075d54afbb13f17a626d3f3e2cb4

Aliases

arxiv: 1507.00334 · arxiv_version: 1507.00334v1 · doi: 10.48550/arxiv.1507.00334 · pith_short_12: 3GRCSNL6P5XC · pith_short_16: 3GRCSNL6P5XCRHU2 · pith_short_8: 3GRCSNL6

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/3GRCSNL6P5XCRHU2WK4XWDG424 \
  | 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: d9a229357e7f6e289e9ab2b97b0cdcd70ff9075d54afbb13f17a626d3f3e2cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477b68aa85ee1abdae08bb1510cfa028f63f5c25171b2345aaa85b6567667e15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-01T09:23:37Z",
    "title_canon_sha256": "ac61dbbd564e81ab90a3dcb50cb98a1eb7f94fb1add322089ea436647dc092c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00334",
    "kind": "arxiv",
    "version": 1
  }
}