Pith Number

pith:3AIGII4W

pith:2011:3AIGII4WG6ZXTVVGVRDCTEZHP2

not attested not anchored not stored refs pending

Computing Semi-algebraic Invariants for Polynomial Dynamical Systems

Hengjun Zhao, Jiang Liu, Naijun Zhan

arxiv:1102.0705 v2 · 2011-02-03 · cs.SC · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3AIGII4WG6ZXTVVGVRDCTEZHP2}

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	2026-05-18T04:17:13.463362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81064239637b379d6a6ac462993277e90c6d598806e8bf0e5b94ac512ba893a

Aliases

arxiv: 1102.0705 · arxiv_version: 1102.0705v2 · doi: 10.48550/arxiv.1102.0705 · pith_short_12: 3AIGII4WG6ZX · pith_short_16: 3AIGII4WG6ZXTVVG · pith_short_8: 3AIGII4W

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/3AIGII4WG6ZXTVVGVRDCTEZHP2 \
  | 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: d81064239637b379d6a6ac462993277e90c6d598806e8bf0e5b94ac512ba893a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7d4361edb65b5b9346759a73494a407a7b68a5e798af36a11441213a08745d",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2011-02-03T15:30:53Z",
    "title_canon_sha256": "8122f97cba79e6e9db7c459be2d06567d9bc66eb6850937eae6fcc9c0c4f08f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0705",
    "kind": "arxiv",
    "version": 2
  }
}