Pith Number

pith:AIMHCANJ

pith:2011:AIMHCANJI7PZX5BIYSD5RGZEZX

not attested not anchored not stored refs pending

On the Complexity of Approximate Sum of Sorted List

Bin Fu

arxiv:1112.0520 v4 · 2011-12-02 · cs.DS · 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{AIMHCANJI7PZX5BIYSD5RGZEZX}

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	2026-05-18T04:04:06.364153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02187101a947df9bf428c487d89b24cdf767531fc2906280a46edda016732c43

Aliases

arxiv: 1112.0520 · arxiv_version: 1112.0520v4 · doi: 10.48550/arxiv.1112.0520 · pith_short_12: AIMHCANJI7PZ · pith_short_16: AIMHCANJI7PZX5BI · pith_short_8: AIMHCANJ

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/AIMHCANJI7PZX5BIYSD5RGZEZX \
  | 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: 02187101a947df9bf428c487d89b24cdf767531fc2906280a46edda016732c43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84d0a4a7f361750837c6b8683cc8d5e9b011e2850db3bdf0abc76f69d65bf53d",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-12-02T17:50:10Z",
    "title_canon_sha256": "b72eba9ff44051681d2f98f69db6ce358e3c4c316fc49826744e0520221bce8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0520",
    "kind": "arxiv",
    "version": 4
  }
}