Pith Number

pith:D2BPS3D3

pith:2025:D2BPS3D3OGX752JZRF55UOY4GJ

not attested not anchored not stored refs pending

Unstable motivic and real-\'etale homotopy theory

Aravind Asok, Elden Elmanto, Michael J. Hopkins, Tom Bachmann

arxiv:2501.15651 v1 · 2025-01-26 · math.AG · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2BPS3D3OGX752JZRF55UOY4GJ}

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.

Cited by

1 paper in Pith

Relative $\mathbb{A}^1$-Contractibility of Smooth Schemes

Receipt and verification

First computed	2026-07-05T10:05:32.441948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e82f96c7b71affee939897bda3b1c32451a4f2ea7cd8e89e066baf5fde6cb7d

Aliases

arxiv: 2501.15651 · arxiv_version: 2501.15651v1 · doi: 10.48550/arxiv.2501.15651 · pith_short_12: D2BPS3D3OGX7 · pith_short_16: D2BPS3D3OGX752JZ · pith_short_8: D2BPS3D3

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/D2BPS3D3OGX752JZRF55UOY4GJ \
  | 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: 1e82f96c7b71affee939897bda3b1c32451a4f2ea7cd8e89e066baf5fde6cb7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16adc6e0486798df52e1369d91f30fe102ec26218413a4688d980730c8eef759",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-01-26T19:24:44Z",
    "title_canon_sha256": "49a9ebb80db5b2031564c61db7cbfea715b64805b9b6341fb39c280962f07fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15651",
    "kind": "arxiv",
    "version": 1
  }
}