Pith Number

pith:ZPSZG5GU

pith:2015:ZPSZG5GUNYIBUKWBGL5HXV2YA7

not attested not anchored not stored refs pending

Unbased rational homotopy theory: a Lie algebra approach

James Maunder

arxiv:1511.07669 v2 · 2015-11-24 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPSZG5GUNYIBUKWBGL5HXV2YA7}

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	2026-05-18T00:26:08.967935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbe59374d46e101a2ac132fa7bd75807d3128a300b7010563b0f7eb49410a5a2

Aliases

arxiv: 1511.07669 · arxiv_version: 1511.07669v2 · doi: 10.48550/arxiv.1511.07669 · pith_short_12: ZPSZG5GUNYIB · pith_short_16: ZPSZG5GUNYIBUKWB · pith_short_8: ZPSZG5GU

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/ZPSZG5GUNYIBUKWBGL5HXV2YA7 \
  | 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: cbe59374d46e101a2ac132fa7bd75807d3128a300b7010563b0f7eb49410a5a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6728e120f19fb4490e1e785cfe4f2216bd30f29a341cb3884508e562f8e8b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-24T12:13:38Z",
    "title_canon_sha256": "1aea875db442c4a821b0684c6e1834bcfdc0e531b3bba361147300d8dd773181"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07669",
    "kind": "arxiv",
    "version": 2
  }
}