Pith Number

pith:PKHY3AKH

pith:2018:PKHY3AKHG3PBJZ2IHXHHVNWHJU

not attested not anchored not stored refs pending

A convolution for the complete and elementary symmetric functions

Mircea Merca

arxiv:1811.04771 v1 · 2018-11-07 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKHY3AKHG3PBJZ2IHXHHVNWHJU}

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	2026-05-18T00:01:04.086475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8f8d814736de14e7483dce7ab6c74d0124f8c5318b72e67d826fa1e68baa1a

Aliases

arxiv: 1811.04771 · arxiv_version: 1811.04771v1 · doi: 10.48550/arxiv.1811.04771 · pith_short_12: PKHY3AKHG3PB · pith_short_16: PKHY3AKHG3PBJZ2I · pith_short_8: PKHY3AKH

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/PKHY3AKHG3PBJZ2IHXHHVNWHJU \
  | 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: 7a8f8d814736de14e7483dce7ab6c74d0124f8c5318b72e67d826fa1e68baa1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c690bcacf5acf10227949078ba4a16c2ed1273ecb8dec819c9d9e6da215e3a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-11-07T08:40:24Z",
    "title_canon_sha256": "c2c5049411305b23eb9cb5e40b4f999d49d7a66c6c240cd91f98e737ebba3841"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04771",
    "kind": "arxiv",
    "version": 1
  }
}