Pith Number

pith:R2TZCEVE

pith:2019:R2TZCEVEBAFMOBMAVXJJF7UD5P

not attested not anchored not stored refs pending

Piecewise contractions and b-adic expansions

Benito Pires

arxiv:1906.03382 v1 · 2019-06-08 · 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{R2TZCEVEBAFMOBMAVXJJF7UD5P}

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	2026-05-17T23:43:48.645257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ea79112a4080ac70580add292fe83ebf334dc8ce5b653f537cb72e91e4426ad

Aliases

arxiv: 1906.03382 · arxiv_version: 1906.03382v1 · doi: 10.48550/arxiv.1906.03382 · pith_short_12: R2TZCEVEBAFM · pith_short_16: R2TZCEVEBAFMOBMA · pith_short_8: R2TZCEVE

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/R2TZCEVEBAFMOBMAVXJJF7UD5P \
  | 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: 8ea79112a4080ac70580add292fe83ebf334dc8ce5b653f537cb72e91e4426ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c3a093ccbbf2dd2363ff673161fc6913ed1860a303d64271f73b772511efe8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-06-08T03:36:14Z",
    "title_canon_sha256": "e64d1ee32c5703bc989d54521a823eaa9f98da4af47099a661c6ca6449f3738b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03382",
    "kind": "arxiv",
    "version": 1
  }
}