Pith Number

pith:X7U6IZWY

pith:2015:X7U6IZWY5XYKOSSUHZRUU2TTMS

not attested not anchored not stored refs pending

Modular nuclearity: A generally covariant perspective

Gandalf Lechner, Ko Sanders

arxiv:1511.09027 v1 · 2015-11-29 · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7U6IZWY5XYKOSSUHZRUU2TTMS}

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	2026-05-18T00:28:32.657149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe9e466d8edf0a74a543e634a6a736487114c4a0af231e56fd81be4ae4f395a

Aliases

arxiv: 1511.09027 · arxiv_version: 1511.09027v1 · doi: 10.48550/arxiv.1511.09027 · pith_short_12: X7U6IZWY5XYK · pith_short_16: X7U6IZWY5XYKOSSU · pith_short_8: X7U6IZWY

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/X7U6IZWY5XYKOSSUHZRUU2TTMS \
  | 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: bfe9e466d8edf0a74a543e634a6a736487114c4a0af231e56fd81be4ae4f395a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9181bc24ab0cb167d87fdff8bf12a1e4d770ae91591f97543b9fb0d2d5e913a",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-29T15:39:33Z",
    "title_canon_sha256": "5bc8ecd8a572670bc132949f481bfca0611147e351404952fa3d40949f3e9b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09027",
    "kind": "arxiv",
    "version": 1
  }
}