Pith Number

pith:KZAORBM4

pith:2026:KZAORBM4CKKYL3B7UJFT5VRRW7

not attested not anchored not stored refs pending

Simultaneous popular polynomial differences over finite fields

David Conlon, Dingding Dong, Guo-Dong Hong

arxiv:2607.10051 v1 · 2026-07-11 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZAORBM4CKKYL3B7UJFT5VRRW7}

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	2026-07-14T00:18:49.456346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5640e8859c129585ec3fa24b3ed631b7cef12e966bee28682f754063ff88769e

Aliases

arxiv: 2607.10051 · arxiv_version: 2607.10051v1 · doi: 10.48550/arxiv.2607.10051 · pith_short_12: KZAORBM4CKKY · pith_short_16: KZAORBM4CKKYL3B7 · pith_short_8: KZAORBM4

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/KZAORBM4CKKYL3B7UJFT5VRRW7 \
  | 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: 5640e8859c129585ec3fa24b3ed631b7cef12e966bee28682f754063ff88769e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bdebe11ee565ba5817dc82273b99ddb3bf10907239c108258ff5109612fa021",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-11T00:21:07Z",
    "title_canon_sha256": "9856ec5c76dad187d60060376c33066c10ab1bf3a0e1f47809eb8902809856fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10051",
    "kind": "arxiv",
    "version": 1
  }
}