Pith Number

pith:5Y7BB26S

pith:2010:5Y7BB26SIDBKTDGAYNBCEKY2IH

not attested not anchored not stored refs pending

The Value of Staying Current when Beamforming

Andreas Achtzehn, Marina Petrova, Petri Mahonen, Robert Calderbank, Yiyue Wu

arxiv:1007.5336 v1 · 2010-07-29 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Y7BB26SIDBKTDGAYNBCEKY2IH}

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	2026-05-18T04:42:45.411190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3e10ebd240c2a98cc0c342222b1a41cc553ea1b22afe789f99fa742fce84af

Aliases

arxiv: 1007.5336 · arxiv_version: 1007.5336v1 · doi: 10.48550/arxiv.1007.5336 · pith_short_12: 5Y7BB26SIDBK · pith_short_16: 5Y7BB26SIDBKTDGA · pith_short_8: 5Y7BB26S

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/5Y7BB26SIDBKTDGAYNBCEKY2IH \
  | 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: ee3e10ebd240c2a98cc0c342222b1a41cc553ea1b22afe789f99fa742fce84af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49338e33d6eb06b4e7ca3db808e6108513880098e557ec0f78cab874340cf1e0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-07-29T21:18:39Z",
    "title_canon_sha256": "f7a18fd258cad6d7163fe78e655f0e3e7c06a3d52a71e23837cb4874cb88ee27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5336",
    "kind": "arxiv",
    "version": 1
  }
}