Pith Number

pith:DGCIFL4Z

pith:2012:DGCIFL4Z5SJEYF6XGAHONRVVQX

not attested not anchored not stored refs pending

The asymptotic density of Wecken maps on surfaces with boundary

P. Christopher Staecker, Seung Won Kim

arxiv:1204.4808 v2 · 2012-04-21 · 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{DGCIFL4Z5SJEYF6XGAHONRVVQX}

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	2026-05-18T00:30:50.953288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

198482af99ec924c17d7300ee6c6b585da4faa72c5beb25f08306d75ce483220

Aliases

arxiv: 1204.4808 · arxiv_version: 1204.4808v2 · doi: 10.48550/arxiv.1204.4808 · pith_short_12: DGCIFL4Z5SJE · pith_short_16: DGCIFL4Z5SJEYF6X · pith_short_8: DGCIFL4Z

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/DGCIFL4Z5SJEYF6XGAHONRVVQX \
  | 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: 198482af99ec924c17d7300ee6c6b585da4faa72c5beb25f08306d75ce483220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "212dcd7d6091fe62d87c91f40f1433b6bd331c08440c2bf1904db55b6831c05d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-21T12:42:59Z",
    "title_canon_sha256": "3b3ab607aa24cf7580f58889afd89f4799c28983209f8057af4cfb65b91757c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4808",
    "kind": "arxiv",
    "version": 2
  }
}