Pith Number

pith:GTTBY4I7

pith:2015:GTTBY4I7Q5G4ISQQ2PDJGQBZHK

not attested not anchored not stored refs pending

Hilbert Basis Theorem and Finite Generation of Invariants in Symmetric Fusion Categories in Positive Characteristic

Siddharth Venkatesh

arxiv:1507.05142 v2 · 2015-07-18 · math.RT · 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{GTTBY4I7Q5G4ISQQ2PDJGQBZHK}

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	2026-05-18T01:20:45.828925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e61c711f874dc44a10d3c69340393ab5ab57fa37fd177c6eda1de34bd17c24

Aliases

arxiv: 1507.05142 · arxiv_version: 1507.05142v2 · doi: 10.48550/arxiv.1507.05142 · pith_short_12: GTTBY4I7Q5G4 · pith_short_16: GTTBY4I7Q5G4ISQQ · pith_short_8: GTTBY4I7

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/GTTBY4I7Q5G4ISQQ2PDJGQBZHK \
  | 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: 34e61c711f874dc44a10d3c69340393ab5ab57fa37fd177c6eda1de34bd17c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac60bc1faa42070d2633802073f42c1956ccc452feca12557ce7ee3f70e43687",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-18T03:41:33Z",
    "title_canon_sha256": "629e582bf0ffef750cbe839c357aee8d0399319ecee1d93d41905950d9021735"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05142",
    "kind": "arxiv",
    "version": 2
  }
}