Pith Number

pith:5R5PI5KC

pith:2025:5R5PI5KCY32LRTP2BFFQ2UKXVG

not attested not anchored not stored refs pending

Non-vanishing implies numerical dimension one abundance

Jihao Liu, Zheng Xu

arxiv:2505.05250 v2 · 2025-05-08 · math.AG · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5R5PI5KCY32LRTP2BFFQ2UKXVG}

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	2026-07-05T11:45:57.968231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7af47542c6f4b8cdfa094b0d5157a98d4eb5cc1ed6799b65f93077d6f71079

Aliases

arxiv: 2505.05250 · arxiv_version: 2505.05250v2 · doi: 10.48550/arxiv.2505.05250 · pith_short_12: 5R5PI5KCY32L · pith_short_16: 5R5PI5KCY32LRTP2 · pith_short_8: 5R5PI5KC

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/5R5PI5KCY32LRTP2BFFQ2UKXVG \
  | 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: ec7af47542c6f4b8cdfa094b0d5157a98d4eb5cc1ed6799b65f93077d6f71079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abfb830d68d10b60efb0995ab4d6691ecf61ac5c6f1b7d515c9a5e2534ac6fd6",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-08T13:54:51Z",
    "title_canon_sha256": "58aa69356a50358ec5014f805498197f9cfd6fa7bff71e947a8dc54cebd9e688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.05250",
    "kind": "arxiv",
    "version": 2
  }
}