Pith Number

pith:MDZUL3SI

pith:2011:MDZUL3SIZ67TVZDWPZXTB2QW6Z

not attested not anchored not stored refs pending

Regular sequences of power sums and complete symmetric polynomials

Ivan Martino, Neeraj Kumar

arxiv:1110.6813 v2 · 2011-10-31 · 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{MDZUL3SIZ67TVZDWPZXTB2QW6Z}

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	2026-05-18T03:30:03.025583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60f345ee48cfbf3ae4767e6f30ea16f669f5780d3317a644cbd2664447692ad8

Aliases

arxiv: 1110.6813 · arxiv_version: 1110.6813v2 · doi: 10.48550/arxiv.1110.6813 · pith_short_12: MDZUL3SIZ67T · pith_short_16: MDZUL3SIZ67TVZDW · pith_short_8: MDZUL3SI

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/MDZUL3SIZ67TVZDWPZXTB2QW6Z \
  | 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: 60f345ee48cfbf3ae4767e6f30ea16f669f5780d3317a644cbd2664447692ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbec26249338e2c9da4cc81b5d9c0f0bedae6a5562359908a17f1ce426624aae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-31T14:54:11Z",
    "title_canon_sha256": "ce6ca75d6edb70b4d8f8213535647271dce9896382def5646e348d46aa63fbc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6813",
    "kind": "arxiv",
    "version": 2
  }
}