Pith Number

pith:SFGFD7GN

pith:2026:SFGFD7GNZZROH42YHPDSIGHKXV

not attested not anchored not stored refs pending

A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1}

Huixi Li, Junfeng Li, Yuchen Ding

arxiv:2607.03662 v1 · 2026-07-04 · 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{SFGFD7GNZZROH42YHPDSIGHKXV}

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	2026-07-07T02:17:59.960615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914c51fccdce62e3f3583bc72418eabd6aaaab2307844eccffc10c7e6caa9873

Aliases

arxiv: 2607.03662 · arxiv_version: 2607.03662v1 · doi: 10.48550/arxiv.2607.03662 · pith_short_12: SFGFD7GNZZRO · pith_short_16: SFGFD7GNZZROH42Y · pith_short_8: SFGFD7GN

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/SFGFD7GNZZROH42YHPDSIGHKXV \
  | 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: 914c51fccdce62e3f3583bc72418eabd6aaaab2307844eccffc10c7e6caa9873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc61098449ce1a8bf876281e54072f7e812ca1f5e7fa799aca163cac4b1eb698",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-04T02:31:00Z",
    "title_canon_sha256": "3ad06a4ba6d21ec394320ff6a5665f5852ae710177298d2e1024f7ea81eb49a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03662",
    "kind": "arxiv",
    "version": 1
  }
}