Pith Number

pith:3ABTUC63

pith:2022:3ABTUC63GS65FTGYLCGEX775VI

not attested not anchored not stored refs pending

Torus Actions on Quotients of Affine Spaces

Ana-Maria Brecan, Hans Franzen

arxiv:2201.04879 v3 · 2022-01-13 · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ABTUC63GS65FTGYLCGEX775VI}

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	2026-05-20T14:03:15.510062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8033a0bdb34bdd2ccd8588c4bfffdaa02e463879e34faca792c2097b6992e38

Aliases

arxiv: 2201.04879 · arxiv_version: 2201.04879v3 · doi: 10.48550/arxiv.2201.04879 · pith_short_12: 3ABTUC63GS65 · pith_short_16: 3ABTUC63GS65FTGY · pith_short_8: 3ABTUC63

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/3ABTUC63GS65FTGYLCGEX775VI \
  | 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: d8033a0bdb34bdd2ccd8588c4bfffdaa02e463879e34faca792c2097b6992e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db04b2b913e7f8c286fb8a0e7025d70f814e21eb41392fb8e690f41609d00612",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-01-13T10:48:45Z",
    "title_canon_sha256": "d3dbdd8a0a1f90fc106f6443d54405d4e65e71147ada80c7c44e4894fdc79977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.04879",
    "kind": "arxiv",
    "version": 3
  }
}