Pith Number

pith:2MKZRXYW

pith:2007:2MKZRXYWFDFVRHXDNWPT347XFZ

not attested not anchored not stored refs pending

Compactifications of Moduli Spaces and Cellular Decompositions

Javier Z\'u\~niga

arxiv:0708.2441 v3 · 2007-08-20 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MKZRXYWFDFVRHXDNWPT347XFZ}

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	2026-05-18T02:03:44.070326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d31598df1628cb589ee36d9f3df3f72e52fb90693b98763b983ea575733edff4

Aliases

arxiv: 0708.2441 · arxiv_version: 0708.2441v3 · doi: 10.48550/arxiv.0708.2441 · pith_short_12: 2MKZRXYWFDFV · pith_short_16: 2MKZRXYWFDFVRHXD · pith_short_8: 2MKZRXYW

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/2MKZRXYWFDFVRHXDNWPT347XFZ \
  | 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: d31598df1628cb589ee36d9f3df3f72e52fb90693b98763b983ea575733edff4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8dcd00caefbad0c6d2185cf46fbddd6d8cb5122d2abe89f61405283afd478d6",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-08-20T00:36:29Z",
    "title_canon_sha256": "1d8a08c1be990a5dd477852c5e18aa48abd5c764c7d1ae396fc75b8215f6edf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.2441",
    "kind": "arxiv",
    "version": 3
  }
}