Pith Number

pith:R6IHXKKY

pith:2017:R6IHXKKYZCEYD55W25HNSBLZIN

not attested not anchored not stored refs pending

Total positivity, Grassmannian and modified Bessel functions

Alexey Glutsyuk, Victor Buchstaber

arxiv:1708.02154 v3 · 2017-08-07 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R6IHXKKYZCEYD55W25HNSBLZIN}

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	2026-05-18T00:16:23.647938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f907ba958c88981f7b6d74ed90579434b9cc33cbec67cfa1675ee0717712aff

Aliases

arxiv: 1708.02154 · arxiv_version: 1708.02154v3 · doi: 10.48550/arxiv.1708.02154 · pith_short_12: R6IHXKKYZCEY · pith_short_16: R6IHXKKYZCEYD55W · pith_short_8: R6IHXKKY

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/R6IHXKKYZCEYD55W25HNSBLZIN \
  | 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: 8f907ba958c88981f7b6d74ed90579434b9cc33cbec67cfa1675ee0717712aff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c482c5ffabc885808a7f194fb8598133d8fc9d1a7061af6f8af0c0e57c1295",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-08-07T15:10:08Z",
    "title_canon_sha256": "b0d3f614d8d70e6f46380614615a7e99a0e14339664ba3e37d6500d0e491edee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02154",
    "kind": "arxiv",
    "version": 3
  }
}