Pith Number

pith:KP525FQI

pith:2008:KP525FQI46F6D4U7HZVOOAYGJE

not attested not anchored not stored refs pending

On the homotopy type of the Deligne-Mumford compactification

Jeffrey Giansiracusa, Johannes Ebert

arxiv:0807.2576 v2 · 2008-07-16 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KP525FQI46F6D4U7HZVOOAYGJE}

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	2026-05-18T02:41:51.565826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53fbae9608e78be1f29f3e6ae7030649184c7043fa507486b70254b004325ebf

Aliases

arxiv: 0807.2576 · arxiv_version: 0807.2576v2 · doi: 10.48550/arxiv.0807.2576 · pith_short_12: KP525FQI46F6 · pith_short_16: KP525FQI46F6D4U7 · pith_short_8: KP525FQI

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/KP525FQI46F6D4U7HZVOOAYGJE \
  | 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: 53fbae9608e78be1f29f3e6ae7030649184c7043fa507486b70254b004325ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa26487cc0ffb368fbe92bd3d16596374514995edc91c0eeda5b388c065c2983",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-07-16T14:16:26Z",
    "title_canon_sha256": "001cc7995f9c6e54ef9905d58b01d16fb1af346996b657a9e2bb0bbb0993329d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2576",
    "kind": "arxiv",
    "version": 2
  }
}