Pith Number

pith:CIJGFNKD

pith:2015:CIJGFNKDA7LDS3L3N3AUNY5LHJ

not attested not anchored not stored refs pending

Root-counting measures of Jacobi polynomials and topological types and critical geodesics of related quadratic differentials

Alexander Solynin, Boris Shapiro

arxiv:1510.06003 v1 · 2015-10-20 · 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{CIJGFNKDA7LDS3L3N3AUNY5LHJ}

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	2026-05-18T01:29:39.032107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

121262b54307d6396d7b6ec146e3ab3a7521ab2c550c3710cfd8bafecdc74e98

Aliases

arxiv: 1510.06003 · arxiv_version: 1510.06003v1 · doi: 10.48550/arxiv.1510.06003 · pith_short_12: CIJGFNKDA7LD · pith_short_16: CIJGFNKDA7LDS3L3 · pith_short_8: CIJGFNKD

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/CIJGFNKDA7LDS3L3N3AUNY5LHJ \
  | 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: 121262b54307d6396d7b6ec146e3ab3a7521ab2c550c3710cfd8bafecdc74e98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e678c3cc46d6812051943824796dce1be526f04136de694efb709119a3017f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-20T18:32:54Z",
    "title_canon_sha256": "61192fa9a04cb740706b94e9fe68f3a4cc00cda417841fcb6418c1ca2ff49c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06003",
    "kind": "arxiv",
    "version": 1
  }
}