Pith Number

pith:37LIFZK2

pith:2016:37LIFZK2WRS2GNF7NKBAMTFYNS

not attested not anchored not stored refs pending

Shrinking random $\beta$-transformation

Kan Jiang, Karma Dajani

arxiv:1602.05337 v2 · 2016-02-17 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37LIFZK2WRS2GNF7NKBAMTFYNS}

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	2026-05-18T00:55:25.268178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfd682e55ab465a334bf6a82064cb86cbd4a9e66b0f507f595312cbce7fcf15d

Aliases

arxiv: 1602.05337 · arxiv_version: 1602.05337v2 · doi: 10.48550/arxiv.1602.05337 · pith_short_12: 37LIFZK2WRS2 · pith_short_16: 37LIFZK2WRS2GNF7 · pith_short_8: 37LIFZK2

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/37LIFZK2WRS2GNF7NKBAMTFYNS \
  | 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: dfd682e55ab465a334bf6a82064cb86cbd4a9e66b0f507f595312cbce7fcf15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a58433b8d0811fd1b2a8f5af8a080e6b72a1f53f6eb90df512f3acb22e4b14c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-17T09:12:58Z",
    "title_canon_sha256": "f70065d76067a19ceb0e34dff2e2058e71b4452ccc9cc5707fdc04944f4ba7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05337",
    "kind": "arxiv",
    "version": 2
  }
}