Pith Number

pith:2GRCBLLV

pith:2015:2GRCBLLVVJVKWV2HEQGDALD32Y

not attested not anchored not stored refs pending

Lectures on Super Analysis -- Why necessary and What's that?

Atsushi Inoue

arxiv:1504.03049 v4 · 2015-04-13 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GRCBLLVVJVKWV2HEQGDALD32Y}

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.

Cited by

1 paper in Pith

Fine-Tuning Small Reasoning Models for Quantum Field Theory

Receipt and verification

First computed	2026-05-18T01:24:19.173789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1a220ad75aa6aab5747240c302c7bd635e455ce92597c6295986947457850f2

Aliases

arxiv: 1504.03049 · arxiv_version: 1504.03049v4 · doi: 10.48550/arxiv.1504.03049 · pith_short_12: 2GRCBLLVVJVK · pith_short_16: 2GRCBLLVVJVKWV2H · pith_short_8: 2GRCBLLV

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/2GRCBLLVVJVKWV2HEQGDALD32Y \
  | 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: d1a220ad75aa6aab5747240c302c7bd635e455ce92597c6295986947457850f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f222bc4fcd38b022a728c14221e492c4648e6d589fc61e5887d1bf6487d1ecb",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-13T02:47:24Z",
    "title_canon_sha256": "64bfef5e25e7725f632d20e40a373b8f35874440e867049af1ea7ee4ff49d0da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03049",
    "kind": "arxiv",
    "version": 4
  }
}