Pith Number

pith:XWFMLSW2

pith:2012:XWFMLSW2ADJQTDFQOTG4RFOWBX

not attested not anchored not stored refs pending

Examples of finitely determined map-germs of corank 2 from $n$-space to $(n+1)$-space

Ayse Altintas

arxiv:1202.4992 v3 · 2012-02-22 · 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{XWFMLSW2ADJQTDFQOTG4RFOWBX}

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	2026-05-18T02:55:27.857260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd8ac5cada00d3098cb074cdc895d60dcb0f9197fa9d1cc1cef2883e37b51d20

Aliases

arxiv: 1202.4992 · arxiv_version: 1202.4992v3 · doi: 10.48550/arxiv.1202.4992 · pith_short_12: XWFMLSW2ADJQ · pith_short_16: XWFMLSW2ADJQTDFQ · pith_short_8: XWFMLSW2

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/XWFMLSW2ADJQTDFQOTG4RFOWBX \
  | 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: bd8ac5cada00d3098cb074cdc895d60dcb0f9197fa9d1cc1cef2883e37b51d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e2c7c8d4d5849e6ddd4be15876c58baf15eb3a2bd2b6341666b1e5a11d0f9e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-22T17:59:21Z",
    "title_canon_sha256": "2d11131273ef6eac2bdda1135a08ebb5c3b353cc25f7d428a7308933a5d9830f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4992",
    "kind": "arxiv",
    "version": 3
  }
}