Pith Number

pith:4NHUJEZC

pith:2012:4NHUJEZCTHEZEIGLQBUOHGTP32

not attested not anchored not stored refs pending

A note on isoparametric polynomials

Vladimir G. Tkachev

arxiv:1209.0155 v1 · 2012-09-02 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4NHUJEZCTHEZEIGLQBUOHGTP32}

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	2026-05-18T02:45:32.268534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34f44932299c99220cb8068e39a6fdeac95aaeb986c657e4ed9fe4fff3f9928

Aliases

arxiv: 1209.0155 · arxiv_version: 1209.0155v1 · doi: 10.48550/arxiv.1209.0155 · pith_short_12: 4NHUJEZCTHEZ · pith_short_16: 4NHUJEZCTHEZEIGL · pith_short_8: 4NHUJEZC

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/4NHUJEZCTHEZEIGLQBUOHGTP32 \
  | 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: e34f44932299c99220cb8068e39a6fdeac95aaeb986c657e4ed9fe4fff3f9928

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d865d6309d58ad8befafd9d36e6bb1b570623693f6128c3a98b07221217ba399",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-09-02T08:00:23Z",
    "title_canon_sha256": "54f450790beb6560aa7400c06f284ff448a36d0efa4788bebebfbdde36389587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0155",
    "kind": "arxiv",
    "version": 1
  }
}