Pith Number

pith:J7JWPKJK

pith:2016:J7JWPKJKVHYBTTHAB2KTOKHEEI

not attested not anchored not stored refs pending

Duality and Geodesics for Probabilistic Frames

Clare Wickman, Kasso Okoudjou

arxiv:1609.05998 v2 · 2016-09-20 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7JWPKJKVHYBTTHAB2KTOKHEEI}

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	2026-05-18T00:45:15.456588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fd367a92aa9f019cce00e953728e42219cd4347f1e59eb1209fb7160aa0972b

Aliases

arxiv: 1609.05998 · arxiv_version: 1609.05998v2 · doi: 10.48550/arxiv.1609.05998 · pith_short_12: J7JWPKJKVHYB · pith_short_16: J7JWPKJKVHYBTTHA · pith_short_8: J7JWPKJK

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/J7JWPKJKVHYBTTHAB2KTOKHEEI \
  | 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: 4fd367a92aa9f019cce00e953728e42219cd4347f1e59eb1209fb7160aa0972b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d3f81998c7982436dcce5cdea42acc9d4fcfb90da6c4c7496b9d6dca48e2cfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-20T02:26:06Z",
    "title_canon_sha256": "ebdb7d65fd2ace3a2463f26a7a24ed718ab2f6520c750828ebc211ae1e24e1b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05998",
    "kind": "arxiv",
    "version": 2
  }
}