Pith Number

pith:ATWDM5O3

pith:2009:ATWDM5O3NVC3M22TLTSSVBPBCC

not attested not anchored not stored refs pending

Bounding the Sum of Square Roots via Lattice Reduction

Celi Sun, Jiazhe Chen, Qi Cheng, Xianmeng Meng

arxiv:0905.4487 v1 · 2009-05-27 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATWDM5O3NVC3M22TLTSSVBPBCC}

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	2026-05-18T02:13:31.494828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ec3675db6d45b66b535ce52a85e110af3cdbe19f82abaf98c4c606c7dd349c

Aliases

arxiv: 0905.4487 · arxiv_version: 0905.4487v1 · doi: 10.48550/arxiv.0905.4487 · pith_short_12: ATWDM5O3NVC3 · pith_short_16: ATWDM5O3NVC3M22T · pith_short_8: ATWDM5O3

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/ATWDM5O3NVC3M22TLTSSVBPBCC \
  | 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: 04ec3675db6d45b66b535ce52a85e110af3cdbe19f82abaf98c4c606c7dd349c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212a3fad79b354db2c4d7ca9bc4beedc2370e7d81048bc50e64e34af72fb2c2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2009-05-27T18:23:11Z",
    "title_canon_sha256": "31eff8b79028bcd0e46cd46502ec44a1e94cc172ecf279d77bb4546022ec6553"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4487",
    "kind": "arxiv",
    "version": 1
  }
}