Pith Number

pith:M4FIL4KA

pith:2017:M4FIL4KABWDFOI4ZQZQDDGCWDV

not attested not anchored not stored refs pending

Polynomials, sign patterns and Descartes' rule of signs

Vladimir Petrov Kostov

arxiv:1708.05530 v1 · 2017-08-18 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4FIL4KABWDFOI4ZQZQDDGCWDV}

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	2026-05-17T23:46:42.071298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

670a85f1400d8657239986603198561d57e2dc39854ca664446e102db02c547c

Aliases

arxiv: 1708.05530 · arxiv_version: 1708.05530v1 · doi: 10.48550/arxiv.1708.05530 · pith_short_12: M4FIL4KABWDF · pith_short_16: M4FIL4KABWDFOI4Z · pith_short_8: M4FIL4KA

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/M4FIL4KABWDFOI4ZQZQDDGCWDV \
  | 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: 670a85f1400d8657239986603198561d57e2dc39854ca664446e102db02c547c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05b3cf8f2220c73afcac41b90605c18984376bcab02f090a8a3edd658e4a49a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-18T08:00:58Z",
    "title_canon_sha256": "932726647f3d7cff577830cc12a40eb50b96ab870a64f94aa491b9c4aa6b1dad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05530",
    "kind": "arxiv",
    "version": 1
  }
}