Pith Number

pith:PFHPHPCQ

pith:2010:PFHPHPCQP3DE3SI6VM4RR4GHFE

not attested not anchored not stored refs pending

On the degree and half degree principle for symmetric polynomials

Cordian Riener

arxiv:1001.4464 v2 · 2010-01-25 · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFHPHPCQP3DE3SI6VM4RR4GHFE}

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	2026-05-18T03:30:15.186935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794ef3bc507ec64dc91eab3918f0c7292f2dd06ea870a91727b1a4ffce091cbc

Aliases

arxiv: 1001.4464 · arxiv_version: 1001.4464v2 · doi: 10.48550/arxiv.1001.4464 · pith_short_12: PFHPHPCQP3DE · pith_short_16: PFHPHPCQP3DE3SI6 · pith_short_8: PFHPHPCQ

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/PFHPHPCQP3DE3SI6VM4RR4GHFE \
  | 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: 794ef3bc507ec64dc91eab3918f0c7292f2dd06ea870a91727b1a4ffce091cbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76573c1ad47c7f098809880963fe63febd5ec9170084afb5525d4b96a8bca7c0",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-01-25T15:42:33Z",
    "title_canon_sha256": "a016ec0fa223c1fdfc09debe1d012bdcf0134de2ffb2e4435450c784d8fe0063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.4464",
    "kind": "arxiv",
    "version": 2
  }
}