Pith Number

pith:5Z2NHG5I

pith:2018:5Z2NHG5INDRTKGYZJNOPZ52MIG

not attested not anchored not stored refs pending

Lower Bounds for External Memory Integer Sorting via Network Coding

Alireza Farhadi, Elaine Shi, Kasper Green Larsen, MohammadTaghi Hajiaghayi

arxiv:1811.01313 v1 · 2018-11-04 · cs.DS · cs.CC · cs.DB · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Z2NHG5INDRTKGYZJNOPZ52MIG}

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	2026-05-18T00:01:34.663258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee74d39ba868e3351b194b5cfcf74c41bcc508f33514f32b618e8f1c3f68cfba

Aliases

arxiv: 1811.01313 · arxiv_version: 1811.01313v1 · doi: 10.48550/arxiv.1811.01313 · pith_short_12: 5Z2NHG5INDRT · pith_short_16: 5Z2NHG5INDRTKGYZ · pith_short_8: 5Z2NHG5I

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/5Z2NHG5INDRTKGYZJNOPZ52MIG \
  | 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: ee74d39ba868e3351b194b5cfcf74c41bcc508f33514f32b618e8f1c3f68cfba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "438ad58e8d9fe2d66a55ce538d7aeb06f9604b3c36d43b12829d5527a5ca492b",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DB",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-11-04T02:41:43Z",
    "title_canon_sha256": "deea5a984bba725d40fc6b18de4aa6a961bea79bfb1368cee4d933881a7a4c1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01313",
    "kind": "arxiv",
    "version": 1
  }
}