Pith Number

pith:W4PCNE5D

pith:2020:W4PCNE5DY4ZJ64YCCTWMYEDTVL

not attested not anchored not stored refs pending

Generalizing the Distribution of Missing Sums in Sumsets

Chenyang Sun, Dylan King, Hung V. Chu, Lily Shao, Noah Luntzlara, Steven J. Miller, Thomas C. Martinez, Victor Xu

arxiv:2005.07981 v2 · 2020-05-16 · math.NT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4PCNE5DY4ZJ64YCCTWMYEDTVL}

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	2026-07-05T03:04:01.152394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71e2693a3c7329f730214eccc1073aad984b4d883bd1de70524d46116a3f340

Aliases

arxiv: 2005.07981 · arxiv_version: 2005.07981v2 · doi: 10.48550/arxiv.2005.07981 · pith_short_12: W4PCNE5DY4ZJ · pith_short_16: W4PCNE5DY4ZJ64YC · pith_short_8: W4PCNE5D

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/W4PCNE5DY4ZJ64YCCTWMYEDTVL \
  | 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: b71e2693a3c7329f730214eccc1073aad984b4d883bd1de70524d46116a3f340

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ca01f4e1ae7a543e09ff4520e8017df25e611bd56909c39ba7b74bede0534e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-05-16T13:11:08Z",
    "title_canon_sha256": "344bdf4def38109b81ea9a69dfd8e6bf5343c99a0a56a130ee47a2cd1184439f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.07981",
    "kind": "arxiv",
    "version": 2
  }
}