Pith Number

pith:W5A4SWBF

pith:2018:W5A4SWBFU7DNDI4UEJYCGLL5NE

not attested not anchored not stored refs pending

Column symmetric polynomials

Anders Kock, Eduardo Dubuc

arxiv:1812.07021 v1 · 2018-12-17 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5A4SWBFU7DNDI4UEJYCGLL5NE}

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	2026-05-17T23:58:08.202865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b741c95825a7c6d1a3942270232d7d693979f28088c2d0e7bcc30c3f61be6e0f

Aliases

arxiv: 1812.07021 · arxiv_version: 1812.07021v1 · doi: 10.48550/arxiv.1812.07021 · pith_short_12: W5A4SWBFU7DN · pith_short_16: W5A4SWBFU7DNDI4U · pith_short_8: W5A4SWBF

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/W5A4SWBFU7DNDI4UEJYCGLL5NE \
  | 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: b741c95825a7c6d1a3942270232d7d693979f28088c2d0e7bcc30c3f61be6e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46e77601f25e3de0517647b3a38b01e998201fc5db0bc5512b17af94d393a936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-12-17T19:39:53Z",
    "title_canon_sha256": "1ff70d2db2de1ee5b7da525dbc0afa892ccce257e079e7161acb2f01edcbce4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.07021",
    "kind": "arxiv",
    "version": 1
  }
}