Pith Number

pith:FSDPUG6J

pith:2019:FSDPUG6JT7GPJGVPLPZGZT7YMD

not attested not anchored not stored refs pending

Large finite products of small fractions

Arnaldo Mandel

arxiv:1908.00839 v2 · 2019-08-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FSDPUG6JT7GPJGVPLPZGZT7YMD}

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.

Cited by

1 paper in Pith

Dragging the roots of a polynomial to the unit circle

Receipt and verification

First computed	2026-07-04T23:53:16.710815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c86fa1bc99fccf49aaf5bf26ccff860d400516d41d6c82225fcb80c7993084f

Aliases

arxiv: 1908.00839 · arxiv_version: 1908.00839v2 · doi: 10.48550/arxiv.1908.00839 · pith_short_12: FSDPUG6JT7GP · pith_short_16: FSDPUG6JT7GPJGVP · pith_short_8: FSDPUG6J

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/FSDPUG6JT7GPJGVPLPZGZT7YMD \
  | 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: 2c86fa1bc99fccf49aaf5bf26ccff860d400516d41d6c82225fcb80c7993084f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43dfe3ba67a3a4338dc1587db426eb4e822e321c96488e981db82fb4b17a89ea",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-02T13:14:49Z",
    "title_canon_sha256": "761c9cf5da6e1baac4b979da1a21936ec3f4e1871dba274b2790b3afb72ca400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00839",
    "kind": "arxiv",
    "version": 2
  }
}