Pith Number

pith:EPYAMK7R

pith:2021:EPYAMK7REHQSSNGO6M5Z2I3YLV

not attested not anchored not stored refs pending

True complexity and iterated Cauchy--Schwarz

Freddie Manners

arxiv:2109.05731 v1 · 2021-09-13 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPYAMK7REHQSSNGO6M5Z2I3YLV}

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

On polynomial progressions via transference

Receipt and verification

First computed	2026-07-05T03:13:41.788621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23f0062bf121e12934cef33b9d23785d6a7c534b80ce5f60ffe7e98869e105a2

Aliases

arxiv: 2109.05731 · arxiv_version: 2109.05731v1 · doi: 10.48550/arxiv.2109.05731 · pith_short_12: EPYAMK7REHQS · pith_short_16: EPYAMK7REHQSSNGO · pith_short_8: EPYAMK7R

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/EPYAMK7REHQSSNGO6M5Z2I3YLV \
  | 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: 23f0062bf121e12934cef33b9d23785d6a7c534b80ce5f60ffe7e98869e105a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bb109261429ae7b61a6990f2c82ca946316caabcc195c59ee2195ee408466a9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-09-13T06:30:15Z",
    "title_canon_sha256": "9df6df3b35d97f6cf4245714fa6ad908fbf3888106cc5533bd866df9772829dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05731",
    "kind": "arxiv",
    "version": 1
  }
}