Pith Number

pith:3UVDUG2Z

pith:2013:3UVDUG2ZKUW625OMTTBYRYIYPP

not attested not anchored not stored refs pending

A dynamical system approach to Heisenberg Uniqueness Pairs

Karim Kellay (IMB), Philippe Jaming (IMB)

arxiv:1312.6236 v2 · 2013-12-21 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UVDUG2ZKUW625OMTTBYRYIYPP}

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	2026-05-18T02:48:46.516127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2a3a1b59552ded75cc9cc388e1187be3a7ba57063686a9dc1f2fc547720520

Aliases

arxiv: 1312.6236 · arxiv_version: 1312.6236v2 · doi: 10.48550/arxiv.1312.6236 · pith_short_12: 3UVDUG2ZKUW6 · pith_short_16: 3UVDUG2ZKUW625OM · pith_short_8: 3UVDUG2Z

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/3UVDUG2ZKUW625OMTTBYRYIYPP \
  | 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: dd2a3a1b59552ded75cc9cc388e1187be3a7ba57063686a9dc1f2fc547720520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "397bf02f79fc6bbd1d732f8862731c9df28854b16d6a127d120490d2db3588be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-21T10:59:24Z",
    "title_canon_sha256": "ebff92bec7e45aaabcc8cba3e75fa88b4c981b6e52157767f0bb38c581323377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6236",
    "kind": "arxiv",
    "version": 2
  }
}