Pith Number

pith:UBSVWJ2F

pith:2013:UBSVWJ2FGXAPMMSB46VSBSDUNE

not attested not anchored not stored refs pending

Separating invariants for arbitrary linear actions of the additive group

Emilie Dufresne, Jonathan Elmer, M\"ufit Sezer

arxiv:1302.0639 v1 · 2013-02-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBSVWJ2FGXAPMMSB46VSBSDUNE}

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	2026-05-18T03:34:36.662363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0655b274535c0f63241e7ab20c87469231514f7b3ca4ebdd9475f372bf4e3e2

Aliases

arxiv: 1302.0639 · arxiv_version: 1302.0639v1 · doi: 10.48550/arxiv.1302.0639 · pith_short_12: UBSVWJ2FGXAP · pith_short_16: UBSVWJ2FGXAPMMSB · pith_short_8: UBSVWJ2F

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/UBSVWJ2FGXAPMMSB46VSBSDUNE \
  | 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: a0655b274535c0f63241e7ab20c87469231514f7b3ca4ebdd9475f372bf4e3e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e0d585ac718a35320c2ec7f5e862bcdd6c187b462c81ad89c052a1d8adbb75d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-04T10:37:25Z",
    "title_canon_sha256": "9e0c45ae3a927141c94e65c44a9077ecc1c31fecb7ab3723ef98674162fb20b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0639",
    "kind": "arxiv",
    "version": 1
  }
}