Pith Number

pith:YSK2LZOG

pith:2017:YSK2LZOGOK3JBK2HYXYFVCBP6U

not attested not anchored not stored refs pending

Constructing polynomial systems with many positive solutions using tropical geometry

Boulos El Hilany

arxiv:1703.02272 v1 · 2017-03-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSK2LZOGOK3JBK2HYXYFVCBP6U}

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	2026-05-18T00:49:20.342367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c495a5e5c672b690ab47c5f05a882ff52a3c0a340a2ab41586d9dabd2edabbe5

Aliases

arxiv: 1703.02272 · arxiv_version: 1703.02272v1 · doi: 10.48550/arxiv.1703.02272 · pith_short_12: YSK2LZOGOK3J · pith_short_16: YSK2LZOGOK3JBK2H · pith_short_8: YSK2LZOG

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/YSK2LZOGOK3JBK2HYXYFVCBP6U \
  | 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: c495a5e5c672b690ab47c5f05a882ff52a3c0a340a2ab41586d9dabd2edabbe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a6b3cdb97cad01e96b6b52a09e24358ab25bd31d68a8727009fa48fb6fac54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-07T08:32:35Z",
    "title_canon_sha256": "ad0ebe61ae6fffd36289e4e1ce29374e34b0a9d95097f00b5f3872f3a173dbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.02272",
    "kind": "arxiv",
    "version": 1
  }
}