Pith Number

pith:H4AWLMN4

pith:2015:H4AWLMN43ZCANECFCC626J4YAZ

not attested not anchored not stored refs pending

Some remarks on representations up to homotopy

Chenchang Zhu, Giorgio Trentinaglia

arxiv:1511.02686 v1 · 2015-11-06 · math.DG · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4AWLMN43ZCANECFCC626J4YAZ}

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	2026-05-18T01:25:25.997673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f0165b1bcde4406904510bdaf2798066eb214a969ec9d3aab7b6fc917a0608b

Aliases

arxiv: 1511.02686 · arxiv_version: 1511.02686v1 · doi: 10.48550/arxiv.1511.02686 · pith_short_12: H4AWLMN43ZCA · pith_short_16: H4AWLMN43ZCANECF · pith_short_8: H4AWLMN4

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/H4AWLMN43ZCANECFCC626J4YAZ \
  | 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: 3f0165b1bcde4406904510bdaf2798066eb214a969ec9d3aab7b6fc917a0608b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9a1fca8f0796d4e66b4925e476e59197b486361422c458ee128a10f291c757",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-06T12:01:39Z",
    "title_canon_sha256": "6a194f07f3c41aa430f307de07d08958868f9921a81e95f1250e49c3768182f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02686",
    "kind": "arxiv",
    "version": 1
  }
}