Pith Number

pith:CBUNB7XW

pith:2015:CBUNB7XW777TZZID337VDLQCRP

not attested not anchored not stored refs pending

A tropical analog of Descartes' rule of signs

B. Shapiro, D. Novikov, J. Forsg{\aa}rd

arxiv:1510.03257 v1 · 2015-10-12 · 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{CBUNB7XW777TZZID337VDLQCRP}

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	2026-05-18T01:01:01.037419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1068d0fef6ffff3ce503deff51ae028bd4fde7e7cdb74dc957e2baf9a6662d13

Aliases

arxiv: 1510.03257 · arxiv_version: 1510.03257v1 · doi: 10.48550/arxiv.1510.03257 · pith_short_12: CBUNB7XW777T · pith_short_16: CBUNB7XW777TZZID · pith_short_8: CBUNB7XW

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/CBUNB7XW777TZZID337VDLQCRP \
  | 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: 1068d0fef6ffff3ce503deff51ae028bd4fde7e7cdb74dc957e2baf9a6662d13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bebb17f81e6eb342a3ae1db2b6e755e3672c3fcebd14686834c1db051e18e63f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-12T12:46:50Z",
    "title_canon_sha256": "d71d3855212376b70aef3f1d6c0fa0f7485c4db93967f2751e4d01261f7f259c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03257",
    "kind": "arxiv",
    "version": 1
  }
}