Pith Number

pith:USETFX33

pith:2015:USETFX33MHG272CQPDLPSIWKXS

not attested not anchored not stored refs pending

A stratified homotopy hypothesis

David Ayala, John Francis, Nick Rozenblyum

arxiv:1502.01713 v4 · 2015-02-05 · math.AT · math.CT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USETFX33MHG272CQPDLPSIWKXS}

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	2026-05-18T00:47:43.366872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a48932df7b61cdafe85078d6f922cabcb4dd35f6fae099ec946ff38e3fb8703f

Aliases

arxiv: 1502.01713 · arxiv_version: 1502.01713v4 · doi: 10.48550/arxiv.1502.01713 · pith_short_12: USETFX33MHG2 · pith_short_16: USETFX33MHG272CQ · pith_short_8: USETFX33

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/USETFX33MHG272CQPDLPSIWKXS \
  | 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: a48932df7b61cdafe85078d6f922cabcb4dd35f6fae099ec946ff38e3fb8703f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203204b1348dc85db6a0cc1b20e08ca8d1c517d1d0913145b044c683a6100dbd",
    "cross_cats_sorted": [
      "math.CT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-05T20:50:36Z",
    "title_canon_sha256": "1dc0cc8bfe51455a79b4ada98b70b42902c200a60582ede185ff3d169f2ff9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01713",
    "kind": "arxiv",
    "version": 4
  }
}