Pith Number

pith:TEACUYF5

pith:2016:TEACUYF57JXA2CI7INDNRTLTTV

not attested not anchored not stored refs pending

{\L}ojasiewicz inequalities with explicit exponent for smallest singular value functions

Si Tiep Dinh, Tien Son Pham

arxiv:1604.02805 v1 · 2016-04-11 · 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{TEACUYF57JXA2CI7INDNRTLTTV}

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	2026-05-18T01:17:22.113012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99002a60bdfa6e0d091f4346d8cd739d57c721c805ff17061a50dc9f479d100b

Aliases

arxiv: 1604.02805 · arxiv_version: 1604.02805v1 · doi: 10.48550/arxiv.1604.02805 · pith_short_12: TEACUYF57JXA · pith_short_16: TEACUYF57JXA2CI7 · pith_short_8: TEACUYF5

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/TEACUYF57JXA2CI7INDNRTLTTV \
  | 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: 99002a60bdfa6e0d091f4346d8cd739d57c721c805ff17061a50dc9f479d100b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99228a3dc42158fd7c9baa92668c59d4048f9f75900ac7e333c5e1668ec6ba88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-11T06:21:50Z",
    "title_canon_sha256": "2a088a0a4841e36cb27ac5a93de8a0cd7de58b1ec099d17e25e772b662b3e4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02805",
    "kind": "arxiv",
    "version": 1
  }
}