Pith Number

pith:MOFYXRZ7

pith:2003:MOFYXRZ76XTOK3PKSNPJA2B6F7

not attested not anchored not stored refs pending

Simple arguments on consecutive power residues

Zhi-Wei Sun

arxiv:math/0312010 v3 · 2003-11-29 · 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{MOFYXRZ76XTOK3PKSNPJA2B6F7}

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	2026-07-04T14:59:38.910376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

638b8bc73ff5e6e56dea935e90683e2fda202bf23eb609032a7a9c8887e249e1

Aliases

arxiv: math/0312010 · arxiv_version: math/0312010v3 · doi: 10.48550/arxiv.math/0312010 · pith_short_12: MOFYXRZ76XTO · pith_short_16: MOFYXRZ76XTOK3PK · pith_short_8: MOFYXRZ7

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/MOFYXRZ76XTOK3PKSNPJA2B6F7 \
  | 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: 638b8bc73ff5e6e56dea935e90683e2fda202bf23eb609032a7a9c8887e249e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c166e58ab8fe226ad59be62bbb4eb95d465ff3f83f28f2d0196d05cf90a17339",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-11-29T13:42:51Z",
    "title_canon_sha256": "cbc282de0631cfeb7afd3ff8cf2dcf547a7f01e0fe99f86fbdd1243480c439bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312010",
    "kind": "arxiv",
    "version": 3
  }
}