Pith Number

pith:HIWMTW7U

pith:2010:HIWMTW7UXB6PLXQUUSCO4I7NM7

not attested not anchored not stored refs pending

On the topology of semi-algebraic functions on closed semi-algebraic sets

Nicolas Dutertre (LATP)

arxiv:1012.2093 v1 · 2010-12-09 · 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{HIWMTW7UXB6PLXQUUSCO4I7NM7}

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	2026-05-18T04:33:49.002871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2cc9dbf4b87cf5de14a484ee23ed67ed4f4107d00241a8010d77b00aa9a58a

Aliases

arxiv: 1012.2093 · arxiv_version: 1012.2093v1 · doi: 10.48550/arxiv.1012.2093 · pith_short_12: HIWMTW7UXB6P · pith_short_16: HIWMTW7UXB6PLXQU · pith_short_8: HIWMTW7U

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/HIWMTW7UXB6PLXQUUSCO4I7NM7 \
  | 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: 3a2cc9dbf4b87cf5de14a484ee23ed67ed4f4107d00241a8010d77b00aa9a58a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5560d3eb9bb842c52a6d83c0b8d1d625c413a323d6d873e6c643e7123bb4405d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-09T19:42:12Z",
    "title_canon_sha256": "cd5be08104888f2a389e2236ee2e1d16b6fce1d1594ea0d5be133cd44a1cba48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2093",
    "kind": "arxiv",
    "version": 1
  }
}