Pith Number

pith:UI2DNFJC

pith:2010:UI2DNFJC7R6FI6IT4AB5N62RUU

not attested not anchored not stored refs pending

Motivic invariant of real polynomial functions and Newton polyhedron

Goulwen Fichou (IRMAR), Toshizumi Fukui

arxiv:1009.1611 v2 · 2010-09-08 · 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{UI2DNFJC7R6FI6IT4AB5N62RUU}

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	2026-05-18T01:30:15.957509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a234369522fc7c547913e003d6fb51a52d7d35bdd82b49fb13ccfcfba4649edf

Aliases

arxiv: 1009.1611 · arxiv_version: 1009.1611v2 · doi: 10.48550/arxiv.1009.1611 · pith_short_12: UI2DNFJC7R6F · pith_short_16: UI2DNFJC7R6FI6IT · pith_short_8: UI2DNFJC

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/UI2DNFJC7R6FI6IT4AB5N62RUU \
  | 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: a234369522fc7c547913e003d6fb51a52d7d35bdd82b49fb13ccfcfba4649edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b1551068ee96c3d8426fcdfb9fc3e6d1b50497b3c85c01fc6573081535c9131",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-09-08T19:24:40Z",
    "title_canon_sha256": "0cb8af32794681674018d03d0c4c00e9f884a932c8f4e2cc4c3e138f14cc5bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1611",
    "kind": "arxiv",
    "version": 2
  }
}