Pith Number

pith:YPUSU3CD

pith:2019:YPUSU3CD3ERL3FUTLRSPQTKNPS

not attested not anchored not stored refs pending

Representability theorems, up to homotopy

Boris Chorny, David Blanc

arxiv:1903.03960 v2 · 2019-03-10 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPUSU3CD3ERL3FUTLRSPQTKNPS}

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	2026-05-17T23:39:39.723861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e92a6c43d922bd96935c64f84d4d7cbad20ebf1604495c9b8f94eb07e90c24

Aliases

arxiv: 1903.03960 · arxiv_version: 1903.03960v2 · doi: 10.48550/arxiv.1903.03960 · pith_short_12: YPUSU3CD3ERL · pith_short_16: YPUSU3CD3ERL3FUT · pith_short_8: YPUSU3CD

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/YPUSU3CD3ERL3FUTLRSPQTKNPS \
  | 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: c3e92a6c43d922bd96935c64f84d4d7cbad20ebf1604495c9b8f94eb07e90c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a833c65a4cd713a1892c79a3333d8f81664f3b0e702876207fde5161c411df6c",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-03-10T09:45:57Z",
    "title_canon_sha256": "6e64fb338241843aeda0dc15c797c9fff0909aef100e72fa1adcea797a968c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03960",
    "kind": "arxiv",
    "version": 2
  }
}