pith. sign in
Pith Number

pith:DKVAGAXP

pith:2013:DKVAGAXPUQPJH4PXUPOJ5E5FHA
not attested not anchored not stored refs pending

Represent MOD function by low degree polynomial with unbounded one-sided error

Chris Beck, Yuan Li

arxiv:1304.0713 v1 · 2013-04-02 · cs.CC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DKVAGAXPUQPJH4PXUPOJ5E5FHA}

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 2026-05-18T03:29:14.556474Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

1aaa0302efa41e93f1f7a3dc9e93a538239fb3619cedbab7ed3a26f22cd611ce

Aliases

arxiv: 1304.0713 · arxiv_version: 1304.0713v1 · doi: 10.48550/arxiv.1304.0713 · pith_short_12: DKVAGAXPUQPJ · pith_short_16: DKVAGAXPUQPJH4PX · pith_short_8: DKVAGAXP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DKVAGAXPUQPJH4PXUPOJ5E5FHA \
  | 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: 1aaa0302efa41e93f1f7a3dc9e93a538239fb3619cedbab7ed3a26f22cd611ce
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9a98fee7c50ad4fe6c408b45be34e2204c18af7e95719b99f3004d8d0ffb18ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-04-02T17:50:54Z",
    "title_canon_sha256": "a3b069ea855a399c4a003a929166a6e6a8f3ea620326b7217d6888302a456422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0713",
    "kind": "arxiv",
    "version": 1
  }
}