Pith Number

pith:KW3G7YJR

pith:2013:KW3G7YJRLD5OYQY4M5LAPA45Y3

not attested not anchored not stored refs pending

Invariants for non-reductive group actions

Frances Kirwan, Gergely B\'erczi

arxiv:1305.4099 v2 · 2013-05-17 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KW3G7YJRLD5OYQY4M5LAPA45Y3}

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	2026-05-18T02:52:58.478972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55b66fe13158faec431c675607839dc6ff2b598618f01a2cfab65c1be5ddffee

Aliases

arxiv: 1305.4099 · arxiv_version: 1305.4099v2 · doi: 10.48550/arxiv.1305.4099 · pith_short_12: KW3G7YJRLD5O · pith_short_16: KW3G7YJRLD5OYQY4 · pith_short_8: KW3G7YJR

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/KW3G7YJRLD5OYQY4M5LAPA45Y3 \
  | 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: 55b66fe13158faec431c675607839dc6ff2b598618f01a2cfab65c1be5ddffee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15d046125fc64c4a11eee3125bc565277d9cdd94faaf136e63f2daa6550da692",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-17T14:42:17Z",
    "title_canon_sha256": "ddfef5edf9c8feeab0b69141f278ac17373d7835a462cb3b4c509fae6696a44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4099",
    "kind": "arxiv",
    "version": 2
  }
}