Pith Number

pith:FHYDJ5IZ

pith:2010:FHYDJ5IZ6SMNSBEFOTB4KIFEXQ

not attested not anchored not stored refs pending

An extension of Stern's congruence

Lin-Lin Wang, Zhi-Hong Sun

arxiv:1012.4047 v2 · 2010-12-18 · 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{FHYDJ5IZ6SMNSBEFOTB4KIFEXQ}

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	2026-05-18T03:49:33.035306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f034f519f498d9048574c3c520a4bc05eed8318f6155792b360533e5d3bb17

Aliases

arxiv: 1012.4047 · arxiv_version: 1012.4047v2 · doi: 10.48550/arxiv.1012.4047 · pith_short_12: FHYDJ5IZ6SMN · pith_short_16: FHYDJ5IZ6SMNSBEF · pith_short_8: FHYDJ5IZ

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/FHYDJ5IZ6SMNSBEFOTB4KIFEXQ \
  | 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: 29f034f519f498d9048574c3c520a4bc05eed8318f6155792b360533e5d3bb17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d73e066a6fc80fdebc710d37a4ab772eddcd8cae515ebbcdbfbaf66ce474fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-18T01:34:07Z",
    "title_canon_sha256": "53f4ef1a2293a9ab56bfb8139852b5d02fb8746c478add72cc22e6d6dec4141d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4047",
    "kind": "arxiv",
    "version": 2
  }
}