Pith Number

pith:5PAJTRPJ

pith:2026:5PAJTRPJFWJC6VDGD7NNB6TL7H

not attested not anchored not stored refs pending

Introduction to Universal Equations and Characteristic-free Resolution

Yi Hu

arxiv:2608.10272 v1 · 2026-08-10 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PAJTRPJFWJC6VDGD7NNB6TL7H}

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	2026-08-12T00:23:14.281412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc099c5e92d922f54661fdad0fa6bf9f88ecfa2271a501c16587fddf126fdc0

Aliases

arxiv: 2608.10272 · arxiv_version: 2608.10272v1 · doi: 10.48550/arxiv.2608.10272 · pith_short_12: 5PAJTRPJFWJC · pith_short_16: 5PAJTRPJFWJC6VDG · pith_short_8: 5PAJTRPJ

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/5PAJTRPJFWJC6VDGD7NNB6TL7H \
  | 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: ebc099c5e92d922f54661fdad0fa6bf9f88ecfa2271a501c16587fddf126fdc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab3c93b099c7ae3d5c05a4268ef570401c6d8b10d9e29d700fffbb11b31917a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-10T22:12:32Z",
    "title_canon_sha256": "42589f3829ada10bea7d3a3de74b2e1169cb3a55a9abd9e42922bfd09aa479b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.10272",
    "kind": "arxiv",
    "version": 1
  }
}