Pith Number

pith:MSQ2HB2S

pith:2026:MSQ2HB2SVIRLZGXYGEZQIYLUCH

not attested not anchored not stored refs pending

On the denseness of distal points

Hanfeng Li, Ruiwen Li, Su Gao

arxiv:2607.26446 v1 · 2026-07-29 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MSQ2HB2SVIRLZGXYGEZQIYLUCH}

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	2026-07-30T01:20:31.644139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

64a1a38752aa22bc9af8313304617411ce74159e313d8d2e5e029cedf9016d37

Aliases

arxiv: 2607.26446 · arxiv_version: 2607.26446v1 · doi: 10.48550/arxiv.2607.26446 · pith_short_12: MSQ2HB2SVIRL · pith_short_16: MSQ2HB2SVIRLZGXY · pith_short_8: MSQ2HB2S

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/MSQ2HB2SVIRLZGXYGEZQIYLUCH \
  | 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: 64a1a38752aa22bc9af8313304617411ce74159e313d8d2e5e029cedf9016d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168aae18813e01cee4e5ad4b83b582eb8f5fa675558382fcae6098714a035244",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-29T03:51:18Z",
    "title_canon_sha256": "b8bfe64262ffdd0cd512b460895e8d62d7c1a7a6b5f8145dab134402fca1bece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26446",
    "kind": "arxiv",
    "version": 1
  }
}