Pith Number

pith:JJ7RUOUC

pith:2015:JJ7RUOUCQ77XV2ELU2KUMSCAHP

not attested not anchored not stored refs pending

On the degrees of relations on $x_1^{d_1}, \ldots, x_n^{d_n}, (x_1+ \ldots + x_n)^{d_{n+1}}$ in positive characteristic

Adela Vraciu

arxiv:1510.00676 v1 · 2015-10-02 · 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{JJ7RUOUCQ77XV2ELU2KUMSCAHP}

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	2026-05-18T01:31:12.310013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a7f1a3a8287ff7ae88ba6954648403bd6614a9a23a3c1a08363acc01d461882

Aliases

arxiv: 1510.00676 · arxiv_version: 1510.00676v1 · doi: 10.48550/arxiv.1510.00676 · pith_short_12: JJ7RUOUCQ77X · pith_short_16: JJ7RUOUCQ77XV2EL · pith_short_8: JJ7RUOUC

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/JJ7RUOUCQ77XV2ELU2KUMSCAHP \
  | 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: 4a7f1a3a8287ff7ae88ba6954648403bd6614a9a23a3c1a08363acc01d461882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6fe477292f5c8f35214ec682c1a3a4f28a027995f011bf32a652a3d07a7e744",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-10-02T18:31:44Z",
    "title_canon_sha256": "09d522d8da2fa5eed6d6ecbc098b98328180d657c01735349e39f41d6ab95c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00676",
    "kind": "arxiv",
    "version": 1
  }
}