Pith Number

pith:VDVJCBR3

pith:2015:VDVJCBR3LLBZTK36HCSGDHKHSL

not attested not anchored not stored refs pending

Symmetric multilinear forms and polarization of polynomials

Ale\v{s} Dr\'apal, Petr Vojt\v{e}chovsk\'y

arxiv:1509.05707 v1 · 2015-09-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VDVJCBR3LLBZTK36HCSGDHKHSL}

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	2026-05-18T01:32:42.552735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ea91063b5ac399ab7e38a4619d4792c8cb6ad0aec160b73a73c21f8cd1d4ff

Aliases

arxiv: 1509.05707 · arxiv_version: 1509.05707v1 · doi: 10.48550/arxiv.1509.05707 · pith_short_12: VDVJCBR3LLBZ · pith_short_16: VDVJCBR3LLBZTK36 · pith_short_8: VDVJCBR3

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/VDVJCBR3LLBZTK36HCSGDHKHSL \
  | 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: a8ea91063b5ac399ab7e38a4619d4792c8cb6ad0aec160b73a73c21f8cd1d4ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e67850d66c8b4264eb344d298a25aeac29d600e4ce6aa1f5ea0abad8f5302c6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-18T17:14:02Z",
    "title_canon_sha256": "7c534fbe9ea15d9f668ef202261f4367617b309da6d5c66e9896d2c803ad039e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05707",
    "kind": "arxiv",
    "version": 1
  }
}