Pith Number

pith:HFD3TTJK

pith:2025:HFD3TTJKUYGSLYBLOA4WCX4UXZ

not attested not anchored not stored refs pending

Lower Bounds against the Ideal Proof System in Finite Fields

Iddo Tzameret, Jiaqi Lu, Nashlen Govindasamy, Tal Elbaz

arxiv:2506.17210 v1 · 2025-06-20 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFD3TTJKUYGSLYBLOA4WCX4UXZ}

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	2026-07-05T11:24:58.262719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3947b9cd2aa60d25e02b7039615f94be53e0c44311928ca5e8fb1723cc509b4b

Aliases

arxiv: 2506.17210 · arxiv_version: 2506.17210v1 · doi: 10.48550/arxiv.2506.17210 · pith_short_12: HFD3TTJKUYGS · pith_short_16: HFD3TTJKUYGSLYBL · pith_short_8: HFD3TTJK

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/HFD3TTJKUYGSLYBLOA4WCX4UXZ \
  | 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: 3947b9cd2aa60d25e02b7039615f94be53e0c44311928ca5e8fb1723cc509b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818d7797cbd171c066aa2ea3cc999ee2d3b9f10860c6536c4a1af1e09f056e26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-06-20T17:58:35Z",
    "title_canon_sha256": "1bfd1440e4f14832aea93db22543f949e89be1ce05c4c43341f2b33574aace72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17210",
    "kind": "arxiv",
    "version": 1
  }
}