Pith Number

pith:MLKE3USS

pith:2007:MLKE3USSNOUJZDRN4UPQE6VL7H

not attested not anchored not stored refs pending

Polynomials that Sign Represent Parity and Descartes' Rule of Signs

Nayantara Bhatnagar, Parikshit Gopalan, Richard J. Lipton, Saugata Basu

arxiv:math/0702773 v1 · 2007-02-26 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLKE3USSNOUJZDRN4UPQE6VL7H}

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	2026-05-18T04:28:20.586950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d44dd2526ba89c8e2de51f027aabf9eb2c35ffb8045713ff463203fc0a2895

Aliases

arxiv: math/0702773 · arxiv_version: math/0702773v1 · doi: 10.48550/arxiv.math/0702773 · pith_short_12: MLKE3USSNOUJ · pith_short_16: MLKE3USSNOUJZDRN · pith_short_8: MLKE3USS

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/MLKE3USSNOUJZDRN4UPQE6VL7H \
  | 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: 62d44dd2526ba89c8e2de51f027aabf9eb2c35ffb8045713ff463203fc0a2895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e91dceeb4be732481c1dd233d1ec8a4ee7ce6a45bd54c206106cbea16ba5af7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-02-26T13:12:07Z",
    "title_canon_sha256": "ec082bec9ffd429fa23c33b28846d0288c1999e1090ca7afa9aee1590ccac212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702773",
    "kind": "arxiv",
    "version": 1
  }
}