Pith Number

pith:A25EM5SB

pith:2025:A25EM5SBIYX753FAAURZ2BAZV3

not attested not anchored not stored refs pending

Deterministic factorization of constant-depth algebraic circuits in subexponential time

Mrinal Kumar, Ramprasad Saptharishi, Shubhangi Saraf, Somnath Bhattacharjee, Varun Ramanathan

arxiv:2504.08063 v2 · 2025-04-10 · 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{A25EM5SBIYX753FAAURZ2BAZV3}

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	2026-07-05T11:21:45.378217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ba467641462ffeeca005239d0419aec24986191902a66a4d1e933f67093a1b

Aliases

arxiv: 2504.08063 · arxiv_version: 2504.08063v2 · doi: 10.48550/arxiv.2504.08063 · pith_short_12: A25EM5SBIYX7 · pith_short_16: A25EM5SBIYX753FA · pith_short_8: A25EM5SB

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/A25EM5SBIYX753FAAURZ2BAZV3 \
  | 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: 06ba467641462ffeeca005239d0419aec24986191902a66a4d1e933f67093a1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa975fac0f3bf3cff56136640776ff538b878b2892468a6885713a75028a4eec",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2025-04-10T18:43:12Z",
    "title_canon_sha256": "e6bec7dbf7b8f972a66a53681accaa89f506762482652bae61307d17effe1680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.08063",
    "kind": "arxiv",
    "version": 2
  }
}