Pith Number

pith:GT3UAYTI

pith:2019:GT3UAYTI2Z55ZQLEDSYYE4NAZK

not attested not anchored not stored refs pending

Generation of Schubert polynomial series by nanophotonics

Hayato Saigo, Hirokazu Hori, Hirotsugu Suzui, Kazuharu Uchiyama, Kingo Uchida, Makoto Naruse, Ryo Nakagomi

arxiv:1907.05625 v1 · 2019-07-12 · physics.optics · math-ph · math.MP · physics.app-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GT3UAYTI2Z55ZQLEDSYYE4NAZK}

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	2026-05-17T23:40:47.593794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34f7406268d67bdcc1641cb18271a0caa03a308addb02cd56937c5b36e1fa5ae

Aliases

arxiv: 1907.05625 · arxiv_version: 1907.05625v1 · doi: 10.48550/arxiv.1907.05625 · pith_short_12: GT3UAYTI2Z55 · pith_short_16: GT3UAYTI2Z55ZQLE · pith_short_8: GT3UAYTI

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/GT3UAYTI2Z55ZQLEDSYYE4NAZK \
  | 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: 34f7406268d67bdcc1641cb18271a0caa03a308addb02cd56937c5b36e1fa5ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa20cf4a25d11a5a940f38195413b3d1f2a6e11c9dcbe2ca2aa89e0cb4148665",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.app-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2019-07-12T08:44:04Z",
    "title_canon_sha256": "9b1d1e4168affdacf08fff7078e7c7af3f10f186d9ab36b68569f0d9b56bb180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05625",
    "kind": "arxiv",
    "version": 1
  }
}