Pith Number

pith:ABVGBWTD

pith:2026:ABVGBWTD3CNQ2VNMSIGWYCWCDA

not attested not anchored not stored refs pending

Asymptotic Rank Speedup Theorems, Revisited

Baitian Li, Josh Alman

arxiv:2605.21738 v1 · 2026-05-20 · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABVGBWTD3CNQ2VNMSIGWYCWCDA}

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	2026-05-22T01:03:30.020476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

006a60da63d89b0d55ac920d6c0ac2180a2227c9b5c853e3be8f8246371973c2

Aliases

arxiv: 2605.21738 · arxiv_version: 2605.21738v1 · doi: 10.48550/arxiv.2605.21738 · pith_short_12: ABVGBWTD3CNQ · pith_short_16: ABVGBWTD3CNQ2VNM · pith_short_8: ABVGBWTD

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/ABVGBWTD3CNQ2VNMSIGWYCWCDA \
  | 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: 006a60da63d89b0d55ac920d6c0ac2180a2227c9b5c853e3be8f8246371973c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9684bdcc4b73db45ba44bd9064d17a45a700e74e3329e0cee0ab6f9af65c1912",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2026-05-20T21:03:34Z",
    "title_canon_sha256": "154ee93029a00ab602f1107457bac42b9bac99dd353e4fb1f7431642de7f4c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21738",
    "kind": "arxiv",
    "version": 1
  }
}