Pith Number

pith:EL7X7D3U

pith:2024:EL7X7D3UUOPGFH2C7PWZ7BXKVX

not attested not anchored not stored refs pending

Small gaps of GSE

Dong Yao, Jiaming Li, Renjie Feng

arxiv:2409.03324 v1 · 2024-09-05 · 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{EL7X7D3UUOPGFH2C7PWZ7BXKVX}

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.

Cited by

1 paper in Pith

Smallest gaps of the two-dimensional Coulomb gas

Receipt and verification

First computed	2026-07-05T09:03:29.631609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ff7f8f74a39e629f42fbed9f86eaadf49203cabf42fa62c20de3f8d6ff2e22

Aliases

arxiv: 2409.03324 · arxiv_version: 2409.03324v1 · doi: 10.48550/arxiv.2409.03324 · pith_short_12: EL7X7D3UUOPG · pith_short_16: EL7X7D3UUOPGFH2C · pith_short_8: EL7X7D3U

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/EL7X7D3UUOPGFH2C7PWZ7BXKVX \
  | 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: 22ff7f8f74a39e629f42fbed9f86eaadf49203cabf42fa62c20de3f8d6ff2e22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b61d19ee54992d17fee4aac5b21394219a8b65bca115205303b3597bcad4f659",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-09-05T07:53:06Z",
    "title_canon_sha256": "67dc16a1b0a1887da1c25c2f13841c079a181de1c0c46a7ca3ca9d5505f7d13c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03324",
    "kind": "arxiv",
    "version": 1
  }
}