Pith Number

pith:CJJUF7UO

pith:2012:CJJUF7UOQ3AJVT6DLXJM5FXJJR

not attested not anchored not stored refs pending

Some applications of modular units

Dong Hwa Shin, Ick Sun Eum, Ja Kyung Koo

arxiv:1207.1609 v2 · 2012-07-06 · 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{CJJUF7UOQ3AJVT6DLXJM5FXJJR}

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	2026-05-18T03:49:21.604282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

125342fe8e86c09acfc35dd2ce96e94c7957d25d08f337738e49d1083a2f8d5c

Aliases

arxiv: 1207.1609 · arxiv_version: 1207.1609v2 · doi: 10.48550/arxiv.1207.1609 · pith_short_12: CJJUF7UOQ3AJ · pith_short_16: CJJUF7UOQ3AJVT6D · pith_short_8: CJJUF7UO

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/CJJUF7UOQ3AJVT6DLXJM5FXJJR \
  | 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: 125342fe8e86c09acfc35dd2ce96e94c7957d25d08f337738e49d1083a2f8d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "771709320ee648db251bb5991ae65c9487919a92d803d31271136f50326207d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-06T12:40:10Z",
    "title_canon_sha256": "e2b499750e7138d50a79238abf81993ba1d08127fece45f8a6762591285a1583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1609",
    "kind": "arxiv",
    "version": 2
  }
}