Pith Number

pith:X2FFBKQR

pith:2010:X2FFBKQRBJAB3EQKY2HFO6OHCL

not attested not anchored not stored refs pending

On the finite generation of additive group invariants in positive characteristic

Andreas Maurischat, Emilie Dufresne

arxiv:1001.3293 v2 · 2010-01-19 · 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{X2FFBKQRBJAB3EQKY2HFO6OHCL}

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	2026-05-18T01:21:42.026550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be8a50aa110a401d920ac68e5779c712c8cf26994b77365650ddfb32f31289c1

Aliases

arxiv: 1001.3293 · arxiv_version: 1001.3293v2 · doi: 10.48550/arxiv.1001.3293 · pith_short_12: X2FFBKQRBJAB · pith_short_16: X2FFBKQRBJAB3EQK · pith_short_8: X2FFBKQR

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/X2FFBKQRBJAB3EQKY2HFO6OHCL \
  | 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: be8a50aa110a401d920ac68e5779c712c8cf26994b77365650ddfb32f31289c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd9dbbebe85af5a761773974b81fa0bf432000b0904030288a6df15b6abcedb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-01-19T13:22:59Z",
    "title_canon_sha256": "fb1b86dfbd85ca4c9e8e5e9cdc73f471768f5cd1000942f4603024e53e634bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3293",
    "kind": "arxiv",
    "version": 2
  }
}