Pith Number

pith:5VA73Z3K

pith:2025:5VA73Z3KADKTPNSC4RU4UIUCFH

not attested not anchored not stored refs pending

Density of solutions for systems of forms

Amichai Lampert

arxiv:2507.11514 v2 · 2025-07-15 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VA73Z3KADKTPNSC4RU4UIUCFH}

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	2026-07-05T12:01:45.957886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed41fde76a00d537b642e469ca228229d7b3392baabe3485ec55718b261cd392

Aliases

arxiv: 2507.11514 · arxiv_version: 2507.11514v2 · doi: 10.48550/arxiv.2507.11514 · pith_short_12: 5VA73Z3KADKT · pith_short_16: 5VA73Z3KADKTPNSC · pith_short_8: 5VA73Z3K

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/5VA73Z3KADKTPNSC4RU4UIUCFH \
  | 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: ed41fde76a00d537b642e469ca228229d7b3392baabe3485ec55718b261cd392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d17dd4d2193ae7b2fa8890c26b3b34bed4afa42fe9c87d2d40fd00b84c1970",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-15T17:35:50Z",
    "title_canon_sha256": "024ac61f4565d7afc98ab525128f69f2eaffdaa01173b77230ad832174bcd951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11514",
    "kind": "arxiv",
    "version": 2
  }
}