Pith Number

pith:7S7WHL7Y

pith:2012:7S7WHL7Y5GTKECKMWROO4UJM7X

not attested not anchored not stored refs pending

A Multivariable Chinese Remainder Theorem

Oliver Knill

arxiv:1206.5114 v1 · 2012-06-22 · math.HO · 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{7S7WHL7Y5GTKECKMWROO4UJM7X}

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	2026-05-18T03:52:52.211551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcbf63aff8e9a6a2094cb45cee512cfdd0c45e17d0d53e6ed8779b89a4495a11

Aliases

arxiv: 1206.5114 · arxiv_version: 1206.5114v1 · doi: 10.48550/arxiv.1206.5114 · pith_short_12: 7S7WHL7Y5GTK · pith_short_16: 7S7WHL7Y5GTKECKM · pith_short_8: 7S7WHL7Y

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/7S7WHL7Y5GTKECKMWROO4UJM7X \
  | 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: fcbf63aff8e9a6a2094cb45cee512cfdd0c45e17d0d53e6ed8779b89a4495a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d5458550fc61fe7ffc4f02d53903a077b35099c5492a4779dbbb4a08790c603",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-06-22T11:14:09Z",
    "title_canon_sha256": "1d178062a5bd3dbed7af7ae75c5b07474c77367b5378b21bbb8c57e9024ae1f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5114",
    "kind": "arxiv",
    "version": 1
  }
}