Pith Number

pith:DWAIGDWM

pith:2007:DWAIGDWM423V5ULAEJME4E4PXD

not attested not anchored not stored refs pending

The rational homotopy type of a blow-up in the stable case

Don Stanley, Pascal Lambrechts

arxiv:0706.1363 v1 · 2007-06-10 · math.AT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWAIGDWM423V5ULAEJME4E4PXD}

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	2026-05-18T02:38:19.465474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d80830ecce6b75ed16022584e138fb8d9e8c0add8b07a9dcb81d32c17f9f449

Aliases

arxiv: 0706.1363 · arxiv_version: 0706.1363v1 · doi: 10.48550/arxiv.0706.1363 · pith_short_12: DWAIGDWM423V · pith_short_16: DWAIGDWM423V5ULA · pith_short_8: DWAIGDWM

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/DWAIGDWM423V5ULAEJME4E4PXD \
  | 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: 1d80830ecce6b75ed16022584e138fb8d9e8c0add8b07a9dcb81d32c17f9f449

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ddcd938049f5f0c16cdb17d5146635c76f6c29b85c09b4d4a1c3635f15d53a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-06-10T16:24:23Z",
    "title_canon_sha256": "7a3789313857a82ba0f99aee0941cb5c156073633a86b7f8caeac502799b7258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1363",
    "kind": "arxiv",
    "version": 1
  }
}