Pith Number

pith:V77QXXAD

pith:2015:V77QXXADHHM77RPHBYSR3JXULX

not attested not anchored not stored refs pending

{\L}ojasiewicz-type inequalities with explicit exponents for the largest eigenvalue function of real symmetric polynomial matrices

Si Tiep Dinh, Tien Son Pham

arxiv:1501.01419 v3 · 2015-01-07 · 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{V77QXXADHHM77RPHBYSR3JXULX}

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	2026-05-18T01:23:24.596333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afff0bdc0339d9ffc5e70e251da6f45dc83bd4e528d5cdf0c05c4187bb7f1236

Aliases

arxiv: 1501.01419 · arxiv_version: 1501.01419v3 · doi: 10.48550/arxiv.1501.01419 · pith_short_12: V77QXXADHHM7 · pith_short_16: V77QXXADHHM77RPH · pith_short_8: V77QXXAD

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/V77QXXADHHM77RPHBYSR3JXULX \
  | 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: afff0bdc0339d9ffc5e70e251da6f45dc83bd4e528d5cdf0c05c4187bb7f1236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41cafcc4b43a0d15889fa7a79a681c7778ed8907634b3e96204414e0b0fcfe7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-07T09:52:43Z",
    "title_canon_sha256": "c24e375d081f9199f3b1780e53a3240e89f2a1ef8fb2aba6c1cac17405d5721e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01419",
    "kind": "arxiv",
    "version": 3
  }
}