Pith Number

pith:QDQQCGDE

pith:2024:QDQQCGDE63V2FCOCQCTVLFX75R

not attested not anchored not stored refs pending

Functional Lower Bounds in Algebraic Proofs: Symmetry, Lifting, and Barriers

Iddo Tzameret, Nutan Limaye, Tuomas Hakoniemi

arxiv:2412.20114 v1 · 2024-12-28 · 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{QDQQCGDE63V2FCOCQCTVLFX75R}

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	2026-07-05T09:54:54.815391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80e1011864f6eba289c280a75596ffec4a34d9192abf4fc0371d125fbc2b0be5

Aliases

arxiv: 2412.20114 · arxiv_version: 2412.20114v1 · doi: 10.48550/arxiv.2412.20114 · pith_short_12: QDQQCGDE63V2 · pith_short_16: QDQQCGDE63V2FCOC · pith_short_8: QDQQCGDE

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/QDQQCGDE63V2FCOCQCTVLFX75R \
  | 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: 80e1011864f6eba289c280a75596ffec4a34d9192abf4fc0371d125fbc2b0be5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ac6f77298b21ccd9f6864d22de79db79452055beee815ff867f244a0bb8b06",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2024-12-28T10:50:53Z",
    "title_canon_sha256": "a99a3e2c52ab5560f36bfe240d0a6c30ec6ed22785fd05c8ea36cbc5e289d2b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20114",
    "kind": "arxiv",
    "version": 1
  }
}