Pith Number

pith:ZU4J6Z5J

pith:2017:ZU4J6Z5J7Y5PRN6OOKI4KDNYU7

not attested not anchored not stored refs pending

Sum-set Inequalities from Aligned Image Sets: Instruments for Robust GDoF Bounds

Arash Gholami Davoodi, Syed A. Jafar

arxiv:1703.01168 v2 · 2017-03-03 · 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{ZU4J6Z5J7Y5PRN6OOKI4KDNYU7}

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	2026-05-18T00:36:47.592350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd389f67a9fe3af8b7ce7291c50db8a7dac61e242a24fd46cd684ed572ec3d0d

Aliases

arxiv: 1703.01168 · arxiv_version: 1703.01168v2 · doi: 10.48550/arxiv.1703.01168 · pith_short_12: ZU4J6Z5J7Y5P · pith_short_16: ZU4J6Z5J7Y5PRN6O · pith_short_8: ZU4J6Z5J

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/ZU4J6Z5J7Y5PRN6OOKI4KDNYU7 \
  | 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: cd389f67a9fe3af8b7ce7291c50db8a7dac61e242a24fd46cd684ed572ec3d0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b91f148e5009d0f970287a38613e1aa04d6d1d528d7be5f3f9cdd7220fd16077",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-03-03T14:25:44Z",
    "title_canon_sha256": "162e1dc4d6b4ab4f94c85ee5540ab05a4db32ef26d8b2d44d3d7157d73dbdf7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01168",
    "kind": "arxiv",
    "version": 2
  }
}