Pith Number

pith:T7DR3CGK

pith:2011:T7DR3CGK5BDWDEDRP4IGJIGUWL

not attested not anchored not stored refs pending

Correlation Angles and Inner Products: Application to a Problem from Physics

Adam Towsley, David H. Douglass, Jonathan Pakianathan

arxiv:1108.5308 v1 · 2011-08-12 · stat.AP · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7DR3CGK5BDWDEDRP4IGJIGUWL}

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	2026-05-18T04:14:38.551365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc71d88cae8476190717f1064a0d4b2f40410d4777147632111741e97d05e43

Aliases

arxiv: 1108.5308 · arxiv_version: 1108.5308v1 · doi: 10.48550/arxiv.1108.5308 · pith_short_12: T7DR3CGK5BDW · pith_short_16: T7DR3CGK5BDWDEDR · pith_short_8: T7DR3CGK

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/T7DR3CGK5BDWDEDRP4IGJIGUWL \
  | 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: 9fc71d88cae8476190717f1064a0d4b2f40410d4777147632111741e97d05e43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ee7e1525212701fc480b991e30ab5e9027bf89141c5629fa9a4fab556addc4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2011-08-12T18:00:00Z",
    "title_canon_sha256": "2ef9153de830f62d17e39f4fc57b68c2bb8382ba49417e26e134e914694d50e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5308",
    "kind": "arxiv",
    "version": 1
  }
}