Pith Number

pith:VDZJ3JS7

pith:2025:VDZJ3JS7FMEXBDP4UDDTGZXS6N

not attested not anchored not stored refs pending

A new approach to rational stable parametrized homotopy theory

Alejandro Saiz, Aniceto Murillo, Yves F\'elix

arxiv:2509.11393 v2 · 2025-09-14 · 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{VDZJ3JS7FMEXBDP4UDDTGZXS6N}

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	2026-06-25T01:17:45.984801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f29da65f2b09708dfca0c73366f2f34b982eba17f88f51644c8683f64a8614

Aliases

arxiv: 2509.11393 · arxiv_version: 2509.11393v2 · doi: 10.48550/arxiv.2509.11393 · pith_short_12: VDZJ3JS7FMEX · pith_short_16: VDZJ3JS7FMEXBDP4 · pith_short_8: VDZJ3JS7

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/VDZJ3JS7FMEXBDP4UDDTGZXS6N \
  | 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: a8f29da65f2b09708dfca0c73366f2f34b982eba17f88f51644c8683f64a8614

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eab0519f8d431d3827db0660a3030972a8b5927c717f4f624a147038cb909d6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-09-14T19:02:30Z",
    "title_canon_sha256": "b2f476a9d717815711d81849b3eb11524820ff5fdd00f2e7a50f5fd69449e1d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11393",
    "kind": "arxiv",
    "version": 2
  }
}