Pith Number

pith:VKKRYHC5

pith:2017:VKKRYHC5Q24VERRPKVLRXKHNTL

not attested not anchored not stored refs pending

Volume estimates of sublevel sets of real polynomials

Dau Hoang Hung, Hoang Thieu Anh, Nguyen Quang Dieu, Tien Son Pham

arxiv:1711.04544 v2 · 2017-11-13 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKKRYHC5Q24VERRPKVLRXKHNTL}

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	2026-05-18T00:18:25.554775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa951c1c5d86b952462f55571ba8ed9ae0e4a693b967611ef1959d5f943494ff

Aliases

arxiv: 1711.04544 · arxiv_version: 1711.04544v2 · doi: 10.48550/arxiv.1711.04544 · pith_short_12: VKKRYHC5Q24V · pith_short_16: VKKRYHC5Q24VERRP · pith_short_8: VKKRYHC5

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/VKKRYHC5Q24VERRPKVLRXKHNTL \
  | 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: aa951c1c5d86b952462f55571ba8ed9ae0e4a693b967611ef1959d5f943494ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f47c11210fcf22b98aa1a852d0964f4ae920e48f5dc4fd63f7a68d559d7f14d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-11-13T12:08:59Z",
    "title_canon_sha256": "c3a527e0b550fdd3eb01d0e3b57fdbd056453eb11647ddbf0e704c2bb933c6fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04544",
    "kind": "arxiv",
    "version": 2
  }
}